{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"https://raw.githubusercontent.com/Qiskit/qiskit-tutorials/master/images/qiskit-heading.png\" alt=\"Note: In order for images to show up in this jupyter notebook you need to select File => Trusted Notebook\" width=\"500 px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## _*The Deutsch-Jozsa Algorithm*_ \n",
    "\n",
    "The [Deutsch-Jozsa algorithm](http://rspa.royalsocietypublishing.org/content/439/1907/553) is one of the earliest examples demonstrating the power of quantum computers. The algorithm deals with guessing the type of a hidden Boolean function given as an oracle. The Boolean function is promised to be either balanced, i.e., whose values are $0$ on half of its inputs, or constant, i.e., whose values are the same on all inputs. \n",
    "\n",
    "Classically, in the best case, two queries to the oracle can determine if the hidden Boolean function is balanced; in the worst case, at least half of the inputs must be queried to determine if the hidden Boolean function is constant for all inputs. On the other hand, the Deutsch-Jozsa algorithm can determine the Boolean function with one quantum query.   \n",
    "\n",
    "The latest version of this notebook is available on https://github.com/qiskit/qiskit-tutorial.\n",
    "\n",
    "***\n",
    "### Contributors\n",
    "Rudy Raymond\n",
    "\n",
    "### Qiskit Package Versions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'qiskit': '0.10.3',\n",
       " 'qiskit-terra': '0.8.1',\n",
       " 'qiskit-ignis': '0.1.1',\n",
       " 'qiskit-aer': '0.2.1',\n",
       " 'qiskit-ibmq-provider': '0.2.2',\n",
       " 'qiskit-aqua': '0.5.1'}"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import qiskit\n",
    "qiskit.__qiskit_version__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction <a id='introduction'></a>\n",
    "\n",
    "The algorithm in this notebook follows that in [Cleve et al. 1997](https://arxiv.org/pdf/quant-ph/9708016.pdf). We assume that the input to the oracle $f$ is a $n$-bit string. Namely, for each $x\\ in \\{0,1\\}^n$, the value of $f(x)$ is promised to be either constant, i.e., the same for all $x$, or balanced, i.e., exactly half of the $n$-bit string whose $f(x) = 0$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Algorithm\n",
    "\n",
    "The algorithm is quite simple as follows.\n",
    "1. Prepare two quantum registers initialized to zero. The first is an $n$-qubit reqister for querying the oracle, and the second is a one-qubit register for storing the answer of the oracle\n",
    "$$\n",
    "|0\\ldots 0\\rangle |0\\rangle\n",
    "$$\n",
    "2. Create the superposition of all input queries in the first register by applying the Hadamard gate to each qubit.\n",
    "$$\n",
    "H^{\\otimes^n} |0\\ldots 0\\rangle |0\\rangle = \\frac{1}{\\sqrt{2^n}}\\sum_{i=0}^{2^n-1}|i\\rangle |0\\rangle \n",
    "$$\n",
    "3. Flip the second register and apply the Hadamard gate. This is to store the answer of the oracle in the phase.\n",
    "$$\n",
    "\\frac{1}{\\sqrt{2^n}}\\sum_{i=0}^{2^n-1}|i\\rangle |0\\rangle \\rightarrow \\frac{1}{\\sqrt{2^{n+1}}}\\sum_{i=0}^{2^n-1}|i\\rangle ( |0\\rangle - |1\\rangle )\n",
    "$$\n",
    "4. Query the oracle\n",
    "$$\n",
    "\\frac{1}{\\sqrt{2^{n+1}}}\\sum_{i=0}^{2^n-1}|i\\rangle ( |0\\rangle - |1\\rangle ) \\rightarrow \\frac{1}{\\sqrt{2^{n+1}}}\\sum_{i=0}^{2^n-1}(-1)^{f(i)}|i\\rangle ( |0\\rangle - |1\\rangle ) \n",
    "$$\n",
    "5. Apply the Hadamard gate to the first register\n",
    "\n",
    "6. Measure the first register. If it is non-zero, then conclude that the hidden Boolean function is balanced. Otherwise, conclude that it is constant. \n",
    "\n",
    "The correctness of the conclusion of the last step can be explained as follows. \n",
    "\n",
    "When the hidden Boolean function is constant, the quantum states before and after querying the oracle are the same. The inverse of the Hadamard gate is the Hadamard gate itself. Thus, by Step 5, we essentially reverse Step 2 to obtain the initial quantum state of all-zero at the first register.  \n",
    "\n",
    "When the hidden Boolean function is balanced, the quantum state after querying the oracle is orthogonal to the quantum state before querying the oracle. Thus, by Step 5, when reverting the operation, we must end up with a quantum state that is orthogonal to the initial quantum state of all-zero at the first register. This means we should never obtain the all-zero state. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Circuit <a id=\"circuit\"></a>\n",
    "\n",
    "We now implement the Deutsch-Jozsa algorithm with Qiskit by first preparing the environment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-26T15:39:22.130660Z",
     "start_time": "2018-09-26T15:39:20.490197Z"
    }
   },
   "outputs": [],
   "source": [
    "# useful additional packages \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "# importing Qiskit\n",
    "from qiskit import BasicAer, IBMQ\n",
    "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister, execute\n",
    "from qiskit.compiler import transpile\n",
    "from qiskit.tools.monitor import job_monitor\n",
    "\n",
    "# import basic plot tools\n",
    "from qiskit.tools.visualization import plot_histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-26T15:39:23.056039Z",
     "start_time": "2018-09-26T15:39:22.132345Z"
    }
   },
   "outputs": [],
   "source": [
    "# Load our saved IBMQ accounts\n",
    "IBMQ.load_accounts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We first set the length of the $n$-bit string. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-26T15:39:24.251778Z",
     "start_time": "2018-09-26T15:39:24.247587Z"
    }
   },
   "outputs": [],
   "source": [
    "n = 13 # the length of the first register for querying the oracle "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We then use Qiskit to program the algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-26T15:39:24.980983Z",
     "start_time": "2018-09-26T15:39:24.968037Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The oracle returns a constant value  0\n"
     ]
    }
   ],
   "source": [
    "# Choose a type of oracle at random. With probability half it is constant, \n",
    "# and with the same probability it is balanced\n",
    "oracleType, oracleValue = np.random.randint(2), np.random.randint(2)\n",
    "\n",
    "if oracleType == 0:\n",
    "    print(\"The oracle returns a constant value \", oracleValue)\n",
    "else:\n",
    "    print(\"The oracle returns a balanced function\")\n",
    "    a = np.random.randint(1,2**n) # this is a hidden parameter for balanced oracle. \n",
    "\n",
    "# Creating registers\n",
    "# n qubits for querying the oracle and one qubit for storing the answer\n",
    "qr = QuantumRegister(n+1) #all qubits are initialized to zero\n",
    "# for recording the measurement on the first register\n",
    "cr = ClassicalRegister(n)\n",
    "\n",
    "circuitName = \"DeutschJozsa\"\n",
    "djCircuit = QuantumCircuit(qr, cr)\n",
    "\n",
    "# Create the superposition of all input queries in the first register by applying the Hadamard gate to each qubit.\n",
    "for i in range(n):\n",
    "    djCircuit.h(qr[i])\n",
    "\n",
    "# Flip the second register and apply the Hadamard gate.\n",
    "djCircuit.x(qr[n])\n",
    "djCircuit.h(qr[n])\n",
    "    \n",
    "# Apply barrier to mark the beginning of the oracle\n",
    "djCircuit.barrier()\n",
    "\n",
    "if oracleType == 0:#If the oracleType is \"0\", the oracle returns oracleValue for all input. \n",
    "    if oracleValue == 1:\n",
    "        djCircuit.x(qr[n])\n",
    "    else:\n",
    "        djCircuit.iden(qr[n])\n",
    "else: # Otherwise, it returns the inner product of the input with a (non-zero bitstring) \n",
    "    for i in range(n):\n",
    "        if (a & (1 << i)):\n",
    "            djCircuit.cx(qr[i], qr[n])\n",
    "        \n",
    "# Apply barrier to mark the end of the oracle\n",
    "djCircuit.barrier()\n",
    "\n",
    "# Apply Hadamard gates after querying the oracle\n",
    "for i in range(n):\n",
    "    djCircuit.h(qr[i])\n",
    "    \n",
    "# Measurement\n",
    "djCircuit.barrier()\n",
    "for i in range(n):\n",
    "    djCircuit.measure(qr[i], cr[i])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experiment with Simulators\n",
    "\n",
    "We can run the above circuit on the simulator. \n",
    "\n",
    "First, we draw the circuit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-26T15:39:31.705137Z",
     "start_time": "2018-09-26T15:39:26.587871Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 989x2377.9 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#draw the circuit\n",
    "djCircuit.draw(output='mpl',scale=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We then run the circuit on the simulator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-26T15:39:32.111682Z",
     "start_time": "2018-09-26T15:39:31.709658Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "backend = BasicAer.get_backend('qasm_simulator')\n",
    "shots = 1000\n",
    "job = execute(djCircuit, backend=backend, shots=shots)\n",
    "results = job.result() \n",
    "answer = results.get_counts()\n",
    "\n",
    "plot_histogram(answer)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Repeating the above experiments, we can see that the result of the measurement is an all-zero bitstring if the oracle returns a constant value, or a non-zero bitstring otherwise.\n",
    "\n",
    "## Experiment with Real Devices\n",
    "\n",
    "We can run the circuit on the real device as below. However, notice that because the real devices are noisy, we cannot obtain the type of oracles with certainty, unlike when running the experiments with simulators. The Deutsch-Jozsa algorithm only shows the superiority of quantum computers against exact classical algorithms; when allowing some error, classically we can determine the type of the hidden Boolean function with a constant number of queries. This is asymptotically the same as the case with quantum computers. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-26T15:39:38.192969Z",
     "start_time": "2018-09-26T15:39:37.138264Z"
    }
   },
   "outputs": [],
   "source": [
    "backend = IBMQ.get_backend('ibmq_16_melbourne')\n",
    "djCompiled = transpile(djCircuit, backend=backend, optimization_level=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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mmWewdu1aZGZmYtasWZgwYYKjUycicglmT6E5cOBAxMbGYvz48bh27Rr27t0LlUqFrKwsjBkzBgCwYcMGBAcHo6GhAUFBQTZN1pLYEyZMgEQiwalTp7o0O66s448ef39/o+35+fmIiYnByJEjjbZ7e3tDIpHYLT+yPdYAOQuNRoPExERcuHABb7/9Nl5++WUMHjzYaExubi62b9+OVatW4f/+7/8wa9YsfPjhh12+T0JERNYxuye/tbUVycnJyM3NhVwuh0ajwbVr14ya57Fjx8LPzw9nzpwRFFipVCIiIsLi8UJip6SkoLCwUFA+fV1YWBikUimUSiU0Gg1u376Nbdu2YcuWLVAqlUZjdTodlixZgszMTAdlK1x4eLhbx7cEa4CcxQsvvICLFy/i4MGDWL16dZcGHwACAgLg4eGBBw8ewNPTEy0tLfyjk4hIRGabfA8PDyxYsAA6nQ5yuRytra0AAKlUajTO398fWq0WADBlyhQEBgbinXfeMRs4MzMTX3zxhcWJWhK7w/Tp0/Hxxx9bPLcr8PPzw8GDB1FTU4MRI0YgNDQUBQUFOHToEBITEw3j9Ho95s2bh+TkZCQlJTkwY2H279/v1vEtwRogZ1BdXY3i4mL84Q9/wLRp00yOy87ORmZmJl588UVs2rQJZWVlOHHihB0zJSJybT1+LtpxHKxcLkf//v0BPDzWsjONRgM/Pz8AD8+I8+mnnxoOHRCLr69vj7E7NDQ0YNSoUaLE9fDwEGUeAEaNli3ExcXh888/Nztm8eLFCA4OxsKFC22aS1lZmeDnztzx4SUlJZg6dWqX7Zs3bxacmzU5iBnflnXgTDUAiFsHptYAEL8ObCU783dGP11F55resmULBg4ciN/+9rcmx3du8D/88EPcvXsXa9euxZYtW/Dzn//cMM6a+iEickXWvBf22OTn5+djyJAhGDp0KABg1KhRqK2thUwmAwBcuXIFWq3WcOjNiBEjBCdhCX9//x5jdygqKsKsWbNEiavX60WZxxku0V5aWgqVSoXY2FgcOXIEjz76KAoKCmwSKzExUfBl7i9dumTyts2bN2Pv3r1dtr/33ntCU7MqB7HiO7oO7FkDgLh1YGoNAPHrwBYys1VQrkgz/HQVnWv63r172LNnD1566aUuO186/GuD7+XlBS8vL7z00kv44IMPsGPHDvj4+ACwrn6IiFxJx3tsd++FPfUUZg/Xyc/Ph1KphFwuN2xLS0tDdnY2rl69Cq1WixUrVmDatGkYPXq00LwFsyT2nTt3cOzYMSQnJ9s8H0fIyMhAfHw8li5danJMcXEx4uLiEBMTg1WrVhm2KxQKtLe3Izw8HOfPn8czzzxjdL+mpib4+Pigvr7eZvmTOKytg44aKC0tRXh4OMrLy7Fjxw6j+7EOyFq3b9/Gjz/+aPL7Vt01+B0iIiJw7949u52SmYjI1Zlt8isrKxEdHW3U5GdmZmLGjBmIiorC8OHDodPpsHv3bsGB169fj3Hjxgm6jyWxi4uLIZfLu/2iV19XW1uLtrY2lJeXo729HdXV1d2Omzx5Mo4fP46KigqcOHGiy6kH16xZg40bN3a5X05ODqKjo22SO4mHdUDOKjAwEM3Nzfjv//7vLrfp9XpcvHix2wYfAF588UXcunULw4cPt1e6REQuzWyTn5ubi7q6OqMmXyKRYNOmTWhpaUFraysKCgqsaqhXrlyJ8+fPC7qPJbGLioqQkpIiOJ++oKKiwnBM8pQpU3Dy5Mlux/Xr1w/AwzOoDB06tMvH5sOGDetyn5aWFmi1Wrt8ImONsrIyt47fmbvWgTOtAXXP09MTgwcPxsCBA7vc5uHhgb/85S8mT5M5cOBABAYGwtPTqS/ETkTUZ5h9N9VqtWhoaDBq8nsyb948bNy4EXl5eZgxY0avExQqKCgIc+bMsXtce+j8JWOpVAqNRmNyrEqlQkhICAICAuDt7d3j3Dk5OUhPTxctV7EJ/YPQ1eJ35q514ExrQNaRSCQ8Dz4RkZ2YbfLPnTsHX19fjB071uIJ//rXv+L8+fOor6/H3//+914lJ5PJkJqaKug+a9eutflFuRxFKpUaTheq1Wq7XPSos7S0NNTV1aGxsRGnT582O69Go8HXX38t+PApe1q0aJFbx+/MXevAmdaAiIjI2Zlt8mNjY6HVah12CjNrmnxXNmnSJBw5cgQA8OmnnyImJgb379/HzZs3jcbdvXsXwMOPzgcMGGA4U4UpX375Jerq6pCUlISSkhK8/PLLtnkAJArWAREREfWEn5v2IRMnTkT//v0RHx8PmUyGJ554AvX19cjOzsb27dsN43bu3Ik9e/ZAp9NBoVAgNDQUarUap06dwvz587Fu3Trk5+dDr9fjxo0byMrKMhzXnZqaitWrVzvqIZIFWAdERETUEzb5dqRWq0U5T7pEIsHZs2ehUCjQ3NwMLy+vbueVSCQoLy83um3Xrl0AHp4FAwCOHj2Ko0ePGt1vwYIFvcpPrVYbrmUgljfffFPU+RwZn3VgHUfXAJkmVk3/65xiv48QEbkTNvl2YqtfVh1NmjORyWSiP97nn39e1PkcFZ91YD1H1wB1T8gaX7nWhDGjhhl+9jQvm3wiIuuxybeTnJwcR6fQp4WFheHixYt9Pj7rwHqOrgHqnpCadtWr/hIROSOekJiIiIiIyMWwySciIiIicjFs8qlPEPtLfX0tPnENiIiIhGCTT33C1q1b3To+cQ2IiIiEYJNPfUJWVpZbxyeuARERkRBs8qlP2Lt3r1vHJ64BERGREGzyiYiIiIhcDJt8IiIiIiIXwyaf+oR9+/a5dXziGhAREQnBK97aybJly6BWqx2dht3IZDJe3bUbrAMi12Or1zVfP0TUG9yTbydqtdptmjtbPNbZs2eLOp+j4rMOrOfoGiAyxRava3d6ryAi2+CefDuSyWQoLS212fy3bt3CkCFDUFtbC7lcbtje0NCA0aNH48KFCwgLC7NZ/A68aJF5tqwDZ6kBgHVA7kXs1zVfP0TUW9yT70Kqq6vh4+OD8ePHG22vqqqCr68vQkJCHJQZ2QtrgIiIiAA2+S6lpqYGMpkMXl7GH9BUVVUhMjISnp59d7lfeeUVt45vKdYAERERAWzyXUpNTQ2ioqK6bK+qqup2e1+Snp7u1vEtxRogIiIiwMmb/Ly8PMHHJUZGRuLw4cO2ScjJddfgPXjwALW1tYiKisLly5eRkJCA+Ph4xMXFoaamxkGZCpeQkODW8S3FGiByTnV1dfjDH/6AjIwMvPrqq9i0aRMaGxuNxly4cAHz5s3D3bt3HZQlEbkSwV+81el0yMzMRF5eHn788Uc8/fTT+OCDDzB48GBb5Cc4dkpKCoqKijBt2jSb5+NMrl+/jm+++QaRkZFG29VqNdra2hATE4NHHnkEBw4cQEBAAC5cuIDf/e53KC8vd1DGwjQ3N7t1fEuwBoicz+HDh/Huu++ipKQEADBw4EA8ePAAP/zwAzIzMzFz5kz8v//3/+Dn54cnn3wSHh4euHHjhoOzJiJXIHhPvlKpRGFhISorKw17IebOnSt6YtbG7mjy3U3H8+Hv72+0PT8/HzExMRg5ciQCAgIQEBAAAPD29oZEIrF7nmQ7rAEi57J+/XokJSXh0qVLeOedd9DU1ITW1lbcuXMHV65cwfLly1FeXo64uDhMmjQJHh4eOHbsGB577DFHp05ELsBskz9w4EA8/fTTePXVVzFnzhwAgEqlwooVKzBmzBhIpVJs2LABhw4dQkNDg82TtST2hAkTIJFIcOrUKZvn40zCwsIglUqhVCqh0Whw+/ZtbNu2DVu2bIFSqTQaq9PpsGTJEmRmZjooW+HCw8PdOr4lWANEzuOPf/wjVq1ahV/+8pf4xz/+gVWrVmHo0KGG2x977DH84Q9/wMcffwyJRAKtVovXX38doaGhDsyaiFyJ2Sa/tbUVycnJyM3NhVwuh0ajwbVr14wOBxg7diz8/Pxw5swZQYGVSiUiIiIsHi8kdkpKCgoLCwXl09f5+fnh4MGDqKmpwYgRIxAaGoqCggIcOnQIiYmJhnF6vR7z5s1DcnIykpKSHJixMPv373fr+JZgDRA5hxs3buD3v/89Zs6ciQ8//BDe3t7djrtw4QJmzpyJQYMGYfz48XjjjTfwww8/2DlbInJVZo/J9/DwwIIFC7B06VLI5XK0trYCAKRSqdE4f39/aLVaXL58Gb/5zW+g1+uh1+uRk5ODxx9/vNu5MzMzBe1F7Cl2Z9OnT8frr7+Ot956y+L5TfHw8Oj1HB06N1q2EBcXh88//9zsmMWLFyM4OBgLFy60aS5lZWWCn7uMjAyTt5WUlGDq1Kldtm/evFlwbtbkIGZ8W9aBM9UAIG4dmFoDQPw6sJXszN8Z/XRHrvocdH5dq1QqPHjwAO+9957JQ+IuXLhgOAb/2LFjuHnzJhQKBfbs2YN58+YBsO71Q0SuyZr3gh6/eNvxZTe5XI7+/fsDAL7//nujMRqNBn5+fvD397fZl/p8fX3Nxu6soaEBo0aNEiWuXq8XZR5nuHphaWkpVCoVYmNjceTIETz66KMoKCiwSazExETBV3+8dOmSyds2b96MvXv3dtn+3nvvCU3NqhzEiu/oOrBnDQDi1oGpNQDErwNbyMxWQbkizfDTHbnqc9D5dX3v3j2oVCokJSVh7Nix3Y7/1wY/NDQUISEhGDduHLZs2WJo8q15/RCRa+l4f+nuvaCnnqLHJj8/Px9DhgwxHEs4atQo1NbWQiaTAQCuXLkCrVaLiIgIwxf6APG/1Ofv7282dmdFRUWYNWuWaLFdhUKhQHt7u6PTIAdiDRDZVmNjI5qamkx+ktxdgw883Ev33HPP4e2338b9+/ftmTIRuSizx+Tn5+dDqVRCLpcbtqWlpSE7OxtXr16FVqvFihUrMG3aNIwePdowxlZf6rMk9p07d3Ds2DEkJyeLGttZZGRkID4+HkuXLjU5pri4GHFxcYiJicGqVau63L5o0SIEBgZix44dRtubmprg4+OD+vp60fMmcbEOiJzTI488gldffRUTJ07sctv9+/eRkpLSpcHvkJiYiOXLl7PJJyJRmG3yKysrER0dbdTkZ2ZmYsaMGYiKisLw4cOh0+mwe/duw+2Wfqlv/fr1GDdunKBke4oNPGxs5HK5Xc7bb2+1tbVoa2tDeXk52tvbUV1d3e24yZMn4/jx46ioqMCJEye6nF98zZo12LhxY5f75eTkIDo62ia591ZZWZlbx+/MXevAmdaAyJQhQ4Zg06ZN3Tb5Xl5e+PDDD7tt8AHgqaeewoYNGwyHxhIR9YbZJj83Nxd1dXVGTb5EIsGmTZvQ0tKC1tZWFBQUGDXUln6pb+XKlTh//rygZHuKDTw8VCclJUXQvH1FRUWF4YuHU6ZMwcmTJ7sd169fPwAPP1EZOnRol+8sDBs2rMt9WlpaoNVqjT4VcSZCa8XV4nfmrnXgTGtAZK1JkybxNJlEZBdmm3ytVouGhgajJt+cji/1HTlyBAqFAs8995woSQoRFBRkOKe/q+n8JWOpVAqNRmNyrEqlQkhICAICAkyevq2znJwcpKeni5ar2BYtWuTW8Ttz1zpwpjUgIiJydmab/HPnzsHX19fkGQL+VceX+kpLS1FaWtrrs3bIZDKkpqYKus/atWsRFBTUq7jOSiqVGk4XqtVqu1zZtLO0tDTU1dWhsbERp0+fNjuvRqPB119/LfjwKXIM1gERERH1xGyTHxsbC61W67Dz9FrT5LuySZMm4ciRIwCATz/9FDExMbh//z5u3rxpNO7u3bsAAE9PTwwYMAA+Pj5m5/3yyy9RV1eHpKQklJSU4OWXX7bNAyBRsA6IiIioJz2eQpOcx8SJE9G/f3/Ex8dDJpPhiSeeQH19PbKzs7F9+3bDuJ07d2LPnj3Q6XRQKBQIDQ2FWq3GqVOnMH/+fKxbtw75+fnQ6/W4ceMGsrKyDMd1p6amYvXq1Y56iCa9+eabbh2/M3etA2daAyIiImfHJt+O1Gq1KBdDkkgkOHv2LBQKBZqbm+Hl5dXtvBKJBOXl5Ua37dq1CwAQGBgIADh69CiOHj1qdL8FCxb0Kj+1Wm24loFYnn/+eVHnc2R81oF1HF0DROaI9bruPJ/Y74lpP8IAACAASURBVKNE5F7MHq5D4pHJZDZ5ww4MDMSgQYNEn7c3bPFYw8LCRJ3PUfFZB9ZzdA0QmSKk1q9cazL6KcacRETd4Z58O8nJyXF0CuQEWAdErkfI6zozWwXlijTDTyIiW+GefCIiIiIiF8Mmn/oEMY917YvxiWtAREQkBJt86hO2bt3q1vGJa0BERCQEm3zqExYuXOjW8YlrQEREJASbfOoT7ty549bxiWtAREQkBJt86hOqq6vdOj5xDYiIiIRgk09ERERE5GLY5BMRERERuRheDMtOli1bBrVa7eg07EYmk4l64ad9+/aJNpcj47MOrOfoGiAi02z13ib27xIid8I9+XaiVqvdprlzp8cqlDs9N+70WIncnS1e73wPIeod7sm3I5lMhtLSUkenYXO2uGjR7NmzcfHiRdHndUR81oF1HF0DRGSe2O9tvAAeUe9wT74LuXXrFjw8PHD69Gmj7Q0NDfDw8GCD5AZYA0RERASwyXcp1dXV8PHxwfjx4422V1VVwdfXFyEhIQ7KjOyFNUBEREQAm3yXUlNTA5lMBi8v46OwqqqqEBkZCU/Pvrvcr7zyilvHtxRrgIiIiAAnb/Lz8vIEH5MXGRmJw4cP2yYhJ1dTU4OoqKgu26uqqrrd3pekp6e7dXxLsQaIyJn9+OOPaGpqQnNzM+7fv9/l9vv37+PcuXMOyIzI9Qhu8nU6HZYvX47AwED4+vpi1qxZaGlpsUVuVsVOSUlBUVGRXfJxNt01eA8ePEBtbS2ioqJw+fJlJCQkID4+HnFxcaipqXFQpsIlJCS4dXxLsQaIyNnodDp8/PHHmD59Oh555BH8+7//O/7t3/4NUqkUaWlphjPo3L9/H7/61a8QExOD69evOzhror5PcJOvVCpRWFiIyspKNDY2AgDmzp0remLWxnbXJv/69ev45ptvEBkZabRdrVajra0NMTEx8Pf3x4EDB1BeXg6VSoWMjAwHZStcc3OzW8e3BGuAiJzNl19+iXHjxiE5ORm1tbVYvnw5tmzZgj/+8Y944YUXsHv3bsjlcsycORMvvPACPvroI6xduxbDhw93dOpEfZ7ZU2gOHDgQsbGxGD9+PK5du4a9e/dCpVIhKysLY8aMAQBs2LABwcHBaGhoQFBQkE2TtST2hAkTIJFIcOrUqS7Njivr+KPH39/faHt+fj5iYmIwcuRIo+3e3t6QSCR2y49sjzVARM7k4sWLiI+Ph6enJ/72t7/h2WefRb9+/YzGvPvuu3j//ffxxhtvQK/XY926dXjttdcclDGRazG7J7+1tRXJycnIzc2FXC6HRqPBtWvXjJrnsWPHws/PD2fOnBEUWKlUIiIiwuLxQmKnpKSgsLBQUD59XVhYGKRSKZRKJTQaDW7fvo1t27Zhy5YtUCqVRmN1Oh2WLFmCzMxMB2UrXHh4uFvHtwRrgIicxT//+U8888wz8PLywokTJ/D88893afABwNfXF+fOnYNer4eHhwePxycSkdkm38PDAwsWLIBOp4NcLkdraysAQCqVGo3z9/eHVqvFzZs3ERsbC4VCgejoaBw5csTk3JmZmfjiiy8sTrSn2J1Nnz4dH3/8scVzuwI/Pz8cPHgQNTU1GDFiBEJDQ1FQUIBDhw4hMTHRME6v12PevHlITk5GUlKSAzMWZv/+/W4d3xKsASJyFn/729/w1VdfYdeuXQgODu52TMcx+B999BE2btyIFStWYM+ePbh69aqdsyVyTT1e8bbjOFi5XI7+/fsDAL7//nujMRqNBn5+fhg8eDDKy8shkUhw5coVvPDCC6iurhYlUV9fX7OxO2toaMCoUaNEievh4SHKPACMGi1biIuLw+eff252zOLFixEcHIyFCxfaNJeysjLBz52548NLSkowderULts3b94sODdrchAzvi3rwJlqABC3DkytASB+HdhKdubvjH66Iz4HrvscdH5v27JlC8LDwzFlypRux/5rg//aa6+hsbERGzduxAcffGD49NGa9xAiV2TN66DHJj8/Px9DhgzB0KFDAQCjRo1CbW0tZDIZAODKlSvQarWIiIgwOr5Xo9EIOhynJ/7+/mZjd1ZUVIRZs2aJElev14syjzNcnru0tBQqlQqxsbE4cuQIHn30URQUFNgkVmJiouDLm1+6dMnkbZs3b8bevXu7bH/vvfeEpmZVDmLFd3Qd2LMGAHHrwNQaAOLXgS1kZqugXJFm+OmO+By47nPQ+b2tvr4e1dXVyMnJ6bYx6a7BB4ARI0YgOTkZ+fn5hibfmvcQIlfS8drq7nXQU09h9nCdjheaXC43bEtLS0N2djauXr0KrVaLFStWYNq0aRg9ejQA4OrVq4iLi8O0adPw7LPPCnogPekpNgDcuXMHx44dQ3JysqixnUVGRgbi4+OxdOlSk2OKi4sRFxeHmJgYrFq1yrBdoVCgvb0d4eHhOH/+PJ555hmj+zU1NcHHxwf19fU2y5/EYW0ddNRAaWkpwsPDUV5ejh07dhjdj3VARL1x69YtAA+/J/SvTDX4HUJDQ3Hr1i3RdrARuTOzTX5lZSWio6ONmvzMzEzMmDEDUVFRGD58OHQ6HXbv3m24/bHHHsPx48dRWVlp9uI169evx7hx4wQl21Ns4GFjI5fLMXjwYEFz9wW1tbVoa2tDeXk52tvbTR4KNXnyZBw/fhwVFRU4ceJEl1MPrlmzBhs3buxyv5ycHERHR9skdxIP64CInFlsbCzu3r2LJ598ssttDx48wN27d7tt8AHgzTffxJ07d3iIDpEIzDb5ubm5qKurM2ryJRIJNm3ahJaWFrS2tqKgoMDQUN+9e9cwzs/PDwMHDjQ598qVK3H+/HlByZqL3aGoqAgpKSmC5u0rKioqDMckT5kyBSdPnux2XMcZDHQ6HYYOHdrlOwvDhg3rcp+WlhZotVqjT0WcSVlZmVvH78xd68CZ1oCIzPvJT34CL6+uRwT/5Cc/QUFBgcnTZPLUvkTiMdvka7VaNDQ0GDX55lRXVyMhIQGTJ0/Gf/3XfyE3N1eUJIUICgrCnDlz7B7XHjp/yVgqlUKj0Zgcq1KpEBISgoCAAHh7e/c4d05OjtlPXhxN6B+Erha/M3etA2daAyKynqen4OtwEpEVzL7Szp07B19fX4wdO9aiyeLi4vDZZ5/h2LFjOH78OJ566qleJSeTyZCamiroPmvXrrX5RbkcRSqVGk4XqtVqu1z0qLO0tDTU1dWhsbERp0+fNjuvRqPB119/LfjwKXtatGiRW8fvzF3rwJnWgIiIyNmZbfJjY2Oh1WoddmycNU2+K5s0aZLh2gOffvopYmJicP/+fdy8edNoXMdhU56enhgwYAB8fHzMzvvll1+irq4OSUlJKCkpwcsvv2ybB0CiYB0QERFRT3o8hSY5j4kTJ6J///6Ij4+HTCbDE088gfr6emRnZ2P79u2GcTt37sSePXug0+mgUCgQGhoKtVqNU6dOYf78+Vi3bh3y8/Oh1+tx48YNZGVlGY7rTk1NxerVqx31EMkCrAMiIiLqCZt8O1Kr1aKcJ10ikeDs2bNQKBRobm6Gl5dXt/NKJBKUl5cb3bZr1y4AQGBgIADg6NGjOHr0qNH9FixY0Kv81Gq14VoGYnnzzTdFnc+R8VkH1nF0DRCReWK9t3WeT+zfJUTuhE2+ndjqjaqjSXMmMplM9Mf7/PPPizqfo+KzDqzn6BogItOEvNavXGvCmFHDDD/Nzckmn8h6bPLtJCcnx9Ep9GlhYWG4ePFin4/POrCeo2uAiEwT8t7mqlf9JXI2PI8VEREREZGLYZNPRERERORi2ORTnyDml7n6YnziGhAREQnBJp/6hK1bt7p1fOIaEBERCcEmn/qErKwst45PXAMiIiIh2ORTn7B37163jk9cAyIiIiHY5BMRERERuRg2+URERERELoZNPvUJ+/btc+v4xDUgIiISgle8tZNly5ZBrVY7Og27kclkvLprN1gHRESuyVbv73wfJWtxT76dqNVqt2nubPFYZ8+eLep8jorPOrCeo2uAiMgcW7y/u9PvDBIf9+TbkUwmQ2lpqc3mv3XrFoYMGYLa2lrI5XLD9oaGBowePRoXLlxAWFiYzeJ34EWLzLNlHThLDQCsAyJyP2K/v/N9lHqDe/JdSHV1NXx8fDB+/Hij7VVVVfD19UVISIiDMiN7YQ0QERERwCbfpdTU1EAmk8HLy/gDmqqqKkRGRsLTs+8u9yuvvOLW8S3FGiAiIiKATb5LqampQVRUVJftVVVV3W7vS9LT0906vqVYA0RERAQ4eZOfl5cn+Hi0yMhIHD582DYJObnuGrwHDx6gtrYWUVFRuHz5MhISEhAfH4+4uDjU1NQ4KFPhEhIS3Dq+pVgDRETO6cGDBygpKcHSpUsxd+5czJ8/H2+//TauXbtmNK6oqAjz5s2DTqdzUKbkKgQ3+TqdDsuXL0dgYCB8fX0xa9YstLS02CI3q2KnpKSgqKjILvk4k+vXr+Obb75BZGSk0Xa1Wo22tjbExMTA398fBw4cQHl5OVQqFTIyMhyUrXDNzc1uHd8SrAEiIufz4MEDvP/++wgNDcXTTz+NHTt24Pjx4zh06BDeeOMNPPbYY0hJSUF1dTWKioowe/ZsnD9/Hj/88IOjU6c+TnCTr1QqUVhYiMrKSjQ2NgIA5s6dK3pi1sZ21ya/4/nw9/c32p6fn4+YmBiMHDkSAQEBCAgIAAB4e3tDIpHYPU+yHdYAEZFzaW9vx4svvojFixcjMDAQ//M//4Pbt2/j6tWruH79Or766iu8/vrrqKioQGxsLGbNmgW5XI7Dhw/D19fX0elTH2e2yR84cCCefvppvPrqq5gzZw4AQKVSYcWKFRgzZgykUik2bNiAQ4cOoaGhwebJWhJ7woQJkEgkOHXqlM3zcSZhYWGQSqVQKpXQaDS4ffs2tm3bhi1btkCpVBqN1el0WLJkCTIzMx2UrXDh4eFuHd8SrAEiIueh1+vx29/+Fh999BE2btyI48eP45e//CW8vb0NY0aNGoV33nkH7777LnQ6HXQ6HVavXt1lZw2RNcw2+a2trUhOTkZubi7kcjk0Gg2uXbtmdDjA2LFj4efnhzNnzggKrFQqERERYfF4IbFTUlJQWFgoKJ++zs/PDwcPHkRNTQ1GjBiB0NBQFBQU4NChQ0hMTDSM0+v1mDdvHpKTk5GUlOTAjIXZv3+/W8e3BGuAiMh5lJaW4sMPP8SaNWvw2muvwcPDo9txHcfgT5w4EcHBwXj11Vfx4MEDO2dLrshDr9frzQ344YcfMGDAAHzyySf42c9+hlGjRuHKlSt47LHHDGOCgoKwbt06/PrXvwYAfPvttwgODsaf/vQnwzZr5OXlIS8vD6Wlpfj6668tig0AxcXFeP3110XZm2/qRWmNxMREm14MyxLp6ekYMmQI1qxZY7MYCoUCZWVlgu9n7vjwkpISTJ06tcv2zZs3C45jTQ5ixnd0HdijBgDx68DUGgDi1wERkTU6v7/PmTMHR48exfXr19G/f/9ux3ccg99xiM4nn3yCX/3qVyguLsbUqVOtfh8l92Guje/xircdX3aTy+WGIv3++++Nxmg0Gvj5+Rn+/8477yAuLs6qZE3pODatp9jAw6t7jho1SpS4PfwNZDFnuGpdaWkpVCoVYmNjceTIETz66KMoKCiwSSxrGtlLly6ZvG3z5s3Yu3dvl+3vvfee0NSsykGs+I6uA3vWACBuHZhaA0D8OrCFzGwVlCvSDD/dEZ8DPgeA6z4Hnd/fm5qacODAAfz+97+3uMH39/fHrFmzsGzZMmzZssWwU8PRO4bIsTrqqrsa6Kmn6LHJz8/Px5AhQzB06FAAD48fq62thUwmAwBcuXIFWq3WcOhNfX09vv322y5n+Ogtf3//HmN3KCoqwqxZs0SN7woUCgXa29sdnQY5EGuAiMj2zp49C51Oh+Tk5G5v767BBx6eEGHatGkoLy+3Z7rkoswek5+fnw+lUgm5XG7YlpaWhuzsbFy9ehVarRYrVqzAtGnTMHr0aABAVlYW3njjDZsk21NsALhz5w6OHTtm8oXV12VkZCA+Ph5Lly41Oaa4uBhxcXGIiYnBqlWruty+aNEiBAYGYseOHUbbm5qa4OPjg/r6etHzJnGxDoiInNdjjz2Gt956Cz/96U+73Hb79m38+te/7tLgd3jhhRfw+9//3l6pkgsz2+RXVlYiOjraqMnPzMzEjBkzEBUVheHDh0On02H37t0AgBMnTiAgIABjx47tMfD69esxbtw4Qcmai92huLgYcrkcgwcPFjR3X1BbW4u2tjaUl5ejvb0d1dXV3Y6bPHkyjh8/joqKCpw4caLL+cXXrFmDjRs3drlfTk4OoqOjbZJ7bzn6mERHx+/MXevAmdaAiMicn/70p1izZg2GDRvW5bZHH30UH3/8cbcNPgAkJydjyZIl9kiTXJzZJj83Nxd1dXVGTb5EIsGmTZvQ0tKC1tZWFBQUGBrqmpoafPHFF0hKSsLu3buxceNGnDx5stu5V65cifPnzwtK1lzsDkVFRUhJSRE0b19RUVFhOEZvypQpJp/bfv36AXh4msShQ4d2+c5Cd286LS0t0Gq1Rp+KOBOhteJq8Ttz1zpwpjUgIuqN+Ph4niaTbM5sk6/VatHQ0GDU5JuzZMkSlJWV4dChQ/j1r3+N5cuXY9KkSaIkaqmgoCDDOf1dTecvGUulUmg0GpNjVSoVQkJCEBAQYHROXlNycnKQnp4uWq5iW7RokVvH78xd68CZ1oCIiMjZmW3yz507B19fX4sOv/lXa9eu7dXpMwFAJpMhNTVVcNygoKBexXVWUqkUWq0WwMM/wMztBUhLS0NdXR0aGxtx+vRps/NqNBp8/fXXgg+fIsdgHRAREVFPzDb5sbGx0Gq1op4rXghrmnxXNmnSJBw5cgQA8OmnnyImJgb379/HzZs3jcbdvXsXAODp6YkBAwbAx8fH7Lxffvkl6urqkJSUhJKSErz88su2eQAkCtYBERER9aTHU2iS85g4cSL69++P+Ph4yGQyPPHEE6ivr0d2dja2b99uGLdz507s2bMHOp0OCoUCoaGhUKvVOHXqFObPn49169YhPz8fer0eN27cQFZWluG47tTUVKxevdpRD9GkN998063jd+audeBMa0BEROTs2OTbkVqtFuViSBKJBGfPnoVCoUBzczO8vLy6nVcikaC8vNzotl27dgEAAgMDAQBHjx7F0aNHje63YMGCXuWnVqsN1zIQy/PPPy/qfI6MzzqwjqNrgIioJ2K9v3eeT+zfp+Q+zB6uQ+KRyWQ2eaEGBgZi0KBBos/bG7Z4rGFhYaLO56j4rAPrOboGiIjMEfKed+Vak9FPMeYk+lfck28nOTk5jk6BnADrgIjINQl5f8/MVkG5Is3wk8gWuCefiIiIiMjFsMmnPkHMYxz7YnziGhAREQnBJp/6hK1bt7p1fOIaEBERCcEmn/qEhQsXunV84hoQEREJwSaf+oQ7d+64dXziGhAREQnBJp/6hOrqareOT1wDIiIiIdjkExERERG5GDb5REREREQuhhfDspNly5ZBrVY7Og27kclkol74ad++faLN5cj4rAPrOboGiIjIPFv9jhO7p3AX3JNvJ2q12m2aO3d6rEK503PjTo+ViIhs877P3yXW4558O5LJZCgtLXV0GjZni4sWzZ49GxcvXhR9XkfEZx1Yx9E1QEREPRP7dxwvhGg97sl3Ibdu3YKHhwdOnz5ttL2hoQEeHh5skNwAa4CIiIgANvkupbq6Gj4+Phg/frzR9qqqKvj6+iIkJMRBmZG9sAaIiIgIYJPvUmpqaiCTyeDlZXwUVlVVFSIjI+Hp2XeX+5VXXnHr+JZiDRARERHg5E1+Xl6e4GOxIiMjcfjwYdsk5ORqamoQFRXVZXtVVVW32/uS9PR0t45vKdYAERE5M71ej8bGRpw9exb/+Mc/ur2a+bfffosvvvjCAdm5FsFNvk6nw/LlyxEYGAhfX1/MmjULLS0ttsjNqtgpKSkoKiqySz7OprsG78GDB6itrUVUVBQuX76MhIQExMfHIy4uDjU1NQ7KVLiEhAS3jm8p1gARETkjrVaL999/H+PGjcPIkSMRERGB//iP/0BgYCDmz5+P2tpaAA8b/Keeegr/+Z//iX/+858OzrpvE9zkK5VKFBYWorKyEo2NjQCAuXPnip6YtbHdtcm/fv06vvnmG0RGRhptV6vVaGtrQ0xMDPz9/XHgwAGUl5dDpVIhIyPDQdkK19zc7NbxLcEaICIiZ3To0CGMHDkSixcvxsCBA5Gbm4uPPvoIH374IebOnYs9e/YgMjISzz77LJ588klcunQJf/3rX+Hj4+Po1Ps0s6fQHDhwIGJjYzF+/Hhcu3YNe/fuhUqlQlZWFsaMGQMA2LBhA4KDg9HQ0ICgoCCbJmtJ7AkTJkAikeDUqVNdmh1X1vFHj7+/v9H2/Px8xMTEYOTIkUbbvb29IZFI7JYf2R5rgIiInE1RURGee+45jB8/HiqVqsunzXPnzsWGDRuwbt06bNy4EZ6enigsLMS0adMclLHrMLsnv7W1FcnJycjNzYVcLodGo8G1a9eMmuexY8fCz88PZ86cERRYqVQiIiLC4vFCYqekpKCwsFBQPn1dWFgYpFIplEolNBoNbt++jW3btmHLli1QKpVGY3U6HZYsWYLMzEwHZStceHi4W8e3BGuAiIicyZUrV/CLX/wCEydOxGeffWbyu2H3799HcXExvLy88ODBAxw7dszOmboms02+h4cHFixYAJ1OB7lcjtbWVgCAVCo1Gufv7w+tVgsA8PHxgUKhgEKhgEqlMjl3ZmamoC9VWBK7w/Tp0/Hxxx9bPLcr8PPzw8GDB1FTU4MRI0YgNDQUBQUFOHToEBITEw3j9Ho95s2bh+TkZCQlJTkwY2H279/v1vEtwRogIiJnsmXLFty7dw/79++Hr69vt2M6jsG/dOkSDh48iJdeegkffPABvv/+eztn63o89Hq93tyAhoYGjB49Gk1NTejfvz8GDRqE06dPQyaTGcZIpVLs2rULM2fORHBwMOrr60VJLi8vD3l5eSgtLYVGo+kxdoft27fjk08+wYEDB3qdg4eHR6/n6JCYmOjwK52mp6djyJAhWLNmjc1iKBQKlJWVCb6fuePDS0pKMHXq1C7bN2/eLDiONTmIGd/RdWCPGgDErwNTawCIXwdERGSdjt9x//znPzF8+HBMmTIFH330UbdjOzf4HYfodJxA4k9/+hPS09Ot/l3iLsy28foerF+/Xj9kyBDD/0eNGqX/y1/+Yvj/5cuX9QD0V69e1ev1ev2AAQP0CQkJ+pSUFP3ly5d7mt6snTt36hMTEy2O3SE5OVm/c+fOXsUWW2JiotFjcYRjx47p+/XrZ8jl2WeftUkcax/rxYsXTf4D0O12sdk6vqPrwF41oNeLXwem1sAWdWALK5QfGP10R3wO+Bzo9XwO9HrXfQ46v+8fPHhQD0BfXFzc7diWlhb9hAkT9N7e3vpDhw4Z3SaTyfTx8fFd5nRH5h5/T8+L2cN18vPzoVQqIZfLDdvS0tKQnZ2Nq1evQqvVYsWKFZg2bRpGjx4NAPjqq69QVlaGxYsXY968eb38+8RYT7EB4M6dOzh27BiSk5NFje0sMjIyEB8fj6VLl5ocU1xcjLi4OMTExGDVqlWG7QqFAu3t7QgPD8f58+fxzDPPGN2vqakJPj4+on0SQ7ZjbR101EBpaSnCw8NRXl6OHTt2GN2PdUBERL3V2tqKRx55BMHBwV1uu337dpc9+J2FhYXh3r179krVZZlt8isrKxEdHW3U5GdmZmLGjBmIiorC8OHDodPpsHv3bsPtgwcPBgA89dRThrN9dGf9+vUYN26coGR7ig08bGzkcrkhD1dSW1uLtrY2lJeXo729HdXV1d2Omzx5Mo4fP46KigqcOHGiy6kH16xZg40bN3a5X05ODqKjo22SO4mHdUBERM7uF7/4Be7cuYPHHnusy239+/fH8OHDTZ5FJz8/HydPnrRHmi7NbJOfm5uLuro6oyZfIpFg06ZNaGlpQWtrKwoKCgwNdVtbG3Q6HQDg3LlzePTRR03OvXLlSpw/f15QsuZidygqKkJKSoqgefuKiooKwzHJU6ZMMfkC6NevH4CHZ1AZOnQo/Pz8jG4fNmxYl/u0tLRAq9UafSriTBx9PJ6j43fmrnXgTGtARETWe+SRR3Dw4EGeJtPGzDb5Wq0WDQ0NRk2+ORcuXMDjjz+OhIQELFq0CB988IEoSQoRFBSEOXPm2D2uPWg0GkOjJpVKodFoTI5VqVQICQlBQEAAvL29e5w7JycH6enpouUqNqF/ELpa/M7ctQ6caQ2IiKh3xDyxCXXPbJN/7tw5+Pr6YuzYsRZN9sQTT+D06dP47LPP8Nlnn1n8x4EpMpkMqampgu6zdu1am1+Uy1GkUqnhdKFarbbLRY86S0tLQ11dHRobG3H69Gmz82o0Gnz99deCD5+yp0WLFrl1/M7ctQ6caQ2IiIicndkmPzY2Flqt1mF/bVnT5LuySZMm4ciRIwCATz/9FDExMbh//z5u3rxpNO7u3bsAAE9PTwwYMKDHy0J/+eWXqKurQ1JSEkpKSvDyyy/b5gGQKFgHRERE1BMvRydAlps4cSL69++P+Ph4yGQyPPHEE6ivr0d2dja2b99uGLdz507s2bMHOp0OCoUCoaGhUKvVOHXqFObPn49169YhPz8fer0eN27cQFZWluG47tTUVKxevdpRD5EswDogIiKinrDJtyO1Wg2FQtHreSQSCc6ePQuFQoHm5mZ4eXl1O69EIkF5ebnRbbt27QIABAYGAgCOHj2Ko0ePGt1vwYIFvcpPrVYbXbBMDG+++aao8zkyPuvAOo6uASIi6plYv+M6zyd2T+Eu2OTbia0KtKNJcyYymUz0x/v888+LOp+j4rMOrOfoGiAiIvOEBkqdbwAAIABJREFUvOdfudaEMaOGGX6am5NNvnXY5NtJTk6Oo1Po08LCwnDx4sU+H591YD1H1wAREZkn5HdcZrYKyhVphp8kPrNfvCUiIiIior6HTT4RERERkYthk099gphf4umL8YlrQEREJASbfOoTtm7d6tbxiWtAREQkBJt86hOysrLcOj5xDYiIiIRgk099wt69e906PnENiIiIhGCTT0RERETkYtjkExERERG5GDb51Cfs27fPreMT14CIiEgIXvHWTpYtWwa1Wu3oNOxGJpPx6q7dYB0QERGRPXBPvp2o1Wq3ae5s8Vhnz54t6nyOis86sJ6ja4CIiKgv4Z58O5LJZCgtLbXZ/Ldu3cKQIUNQW1sLuVxu2N7Q0IDRo0fjwoULCAsLs1n8DrxokXm2rANnqQGAdUBERORI3JPvQqqrq+Hj44Px48cbba+qqoKvry9CQkIclBnZC2uAiIiIADb5LqWmpgYymQxeXsYf0FRVVSEyMhKenn13uV955RW3jm8p1gAREREBTt7k5+XlCf7IPzIyEocPH7ZNQk6upqYGUVFRXbZXVVV1u70vSU9Pd+v4lmINEBEREWBFk6/T6bB8+XIEBgbC19cXs2bNQktLiy1ysyp2SkoKioqK7JKPs+muwXvw4AFqa2sRFRWFy5cvIyEhAfHx8YiLi0NNTY2DMhUuISHBreNbijVAREREgBVNvlKpRGFhISorK9HY2AgAmDt3ruiJWRvbXZv869ev45tvvkFkZKTRdrVajba2NsTExMDf3x8HDhxAeXk5VCoVMjIyHJStcM3NzW4d3xKsASIiIupg9uw6AwcORGxsLMaPH49r165h7969UKlUyMrKwpgxYwAAGzZsQHBwMBoaGhAUFGTTZC2JPWHCBEgkEpw6dapLs+PKOv7o8ff3N9qen5+PmJgYjBw50mi7t7c3JBKJ3fIj22MNEBERUQeze/JbW1uRnJyM3NxcyOVyaDQaXLt2zah5Hjt2LPz8/HDmzBlBgZVKJSIiIiweLyR2SkoKCgsLBeXT14WFhUEqlUKpVEKj0eD27dvYtm0btmzZAqVSaTRWp9NhyZIlyMzMdFC2woWHh7t1fEuwBoiIiKiD2Sbfw8MDCxYsgE6ng1wuR2trKwBAKpUajfP394dWqwUAnDlzBklJSXjyySfxm9/8xuTcmZmZ+OKLLyxO1JLYHaZPn46PP/7Y4rldgZ+fHw4ePIiamhqMGDECoaGhKCgowKFDh5CYmGgYp9frMW/ePCQnJyMpKcmBGQuzf/9+t45vCdYAERERdfDQ6/V6cwM6LqLT1NSE/v37Y9CgQTh9+jRkMplhjFQqxa5du5CUlITp06dj3759XZpxa+Tl5SEvLw+lpaXQaDRmY8+cOdOwbfv27fjkk09w4MCBXufg4eHR6zk6JCYm2vRiWJZIT0/HkCFDsGbNGpvFUCgUKCsrE3w/c8eHl5SUYOrUqV22b968WXAca3IQM76j68AeNQCIXwem1gAQvw6IiIj6ArNtvL4H69ev1w8ZMsTw/1GjRun/8pe/GP5/+fJlPQD91atX9WVlZfpnn31WP3PmTH1iYqL+73//e0/Tm7Vz5059YmKiRbE7S05O1u/cubNXscWWmJho9Fgc4dixY/p+/foZcnn22WdtEsfax3rx4kWT/wB0u11sto7v6DqwVw3o9eLXgak1sEUd2MIK5QdGP90RnwM+B3o9nwO9ns+BXs/nwFLmfpf29DvW7Bdv8/PzoVQqERsba9iWlpaG7OxsTJ48GQEBAVixYgWmTZuG0aNH4+TJk6itrYVarYZer8fPf/5zJCQkwM/PT4w/VszG7nDnzh0cO3YMO3fuFCWmK1EoFGhvb3d0GuRArAEiIiL3YPaY/MrKSkRHR0Mulxu2ZWZmYsaMGYiKisLw4cOh0+mwe/duAMCjjz5qOE3foEGDEBERgfr6+m7nXr9+PcaNGycoWXOxOxQXF0Mul2Pw4MGC5u4rMjIyEB8fj6VLl5ocU1xcjLi4OMTExGDVqlVdbl+0aBECAwOxY8cOo+1NTU3w8fExuWbkPFgHREREZI7ZJj83Nxd1dXVGTb5EIsGmTZvQ0tKC1tZWFBQUGBrqmJgY1NfX4969e2hvb8fFixdNnlZz5cqVOH/+vKBkzcXuUFRUhJSUFEHz9hW1tbVoa2tDeXk52tvbUV1d3e24yZMn4/jx46ioqMCJEye6nF98zZo12LhxY5f75eTkIDo62ia595Y1x3a7UvzO3LUOnGkNiIiInJ3ZJl+r1aKhocGoyTdHKpXitddew+TJkxEXF4clS5YgICBAlEQtFRQUhDlz5tg1pr1UVFQYvng4ZcoUnDx5sttx/fr1A/DwNIlDhw7tcrjUsGHDutynpaUFWq3W6NAnZyL0D0JXi9+Zu9aBM60BERGRszPb5J87dw6+vr4YO3asxRP+4he/wPHjx1FVVYX58+f3KjmZTIbU1FRB91m7dq3NL8rlKBqNxtCoSaVSaDQak2NVKhVCQkIQEBAAb2/vHufOyclBenq6aLmKbdGiRW4dvzN3rQNnWgMiIqL/z969B0V1p3nA/0JjgBhoFFl1vOCoO1wctJEXbVgu7YSMbMSwGdSt2RkTVikmUWK0UhaMF1a3otuoCTh/aAaTwKyGzayKC2OyiAo4GJV7e2FUFnVQjBcYp6eBd0ti2+8fvvTSAzR9mtN9+vL9VE0Zzvmd3/P0+T01PhxPn+PozDb5sbGx0Ol0oj5GUghrmnxXJpfLje8E0Ol0Q95sOlhmZiba2trQ2dmJlpYWs/NqtVrcu3dP8HckSBqsAyIiIhqN2SafHEtMTAzOnj0LADhz5gyUSiWePXuGR48emYx7+vQpAMDT0xPjx4+Hr6+v2Xlv3ryJtrY2JCcn4/Tp03jnnXds8wFIFKwDIiIiGo3ZR2iSY1m4cCF8fHwQHx8PhUKBRYsWob29HXl5eTh06JBxXFFREb788kvo9XqoVCqEhoZCo9GgqakJa9euxa5du1BSUgKDwYBvv/0Wubm5xvu609PTsW3bNqk+4oh27tzp1vEHc9c6cKQ1ICIicnRs8u1Io9FApVKNeR6ZTIarV69CpVKhq6sLXl5ew84rk8lQW1trsu/w4cMAgKCgIABAVVUVqqqqTI7LyMgYU34ajcbkrcRiWLVqlajzSRmfdWAdqWuAiIjImbDJtxOxm94BA02aI1EoFKJ/3rCwMFy/fl3UOaWIzzqwntQ1QERE5EzY5NtJQUGB1CmQA2AdEBERkT3wi7dERERERC6GTT45BTHuYXfm+MQ1ICIiEoJNPjmFgwcPunV84hoQEREJwSafnEJubq5bxyeuARERkRBs8skpHD161K3jE9eAiIhICDb5REREREQuhk0+EREREZGLYZNPTuHYsWNuHZ+4BkRERELwZVh2snHjRmg0GqnTsBuFQsEXPw2DdUBERET2wCv5dqLRaNymubPFZ12xYoWo80kVn3VgPalrgIiIyJnwSr4dKRQK1NTUSJ2GzfGlReaxDoiIiMjWeCXfhTx+/BgeHh5oaWkx2d7R0QEPDw9cv35doszIXlgDREREBLDJdykNDQ3w9fVFRESEyfb6+nr4+fkhJCREoszGbv369W4d31KsASIiIgLY5LuUxsZGKBQKeHmZ3oVVX1+PqKgoeHo673JnZWW5dXxLsQaIiIgIcPAmv7i4WPB9vVFRUTh16pRtEnJwjY2NiI6OHrK9vr5+2O3OJCEhwa3jW4o1QERERIAVTb5er8fmzZsRFBQEPz8/pKWlobu72xa5WRU7NTUV5eXldsnH0QzX4D1//hzNzc2Ijo7GrVu3kJCQgPj4eMTFxaGxsVGiTIXr6upy6/iWYg0QERERYEWTr1arUVZWhrq6OnR2dgIAVq9eLXpi1sZ21yb//v37ePjwIaKioky2azQa9Pb2QqlUIiAgACdOnEBtbS0KCwuxadMmibIlW2ANEBER0QCzj9B85ZVXEBsbi4iICNy9exdHjx5FYWEhcnNzMXv2bADAnj17MHfuXHR0dCA4ONimyVoSe8GCBZDJZGhqahrS7LiygV96AgICTLaXlJRAqVRixowZJtu9vb0hk8nslt9YhYeHu3V8S7AGiIiIaIDZK/k9PT1ISUnB/v37ERkZCa1Wi7t375o0z3PmzIG/vz8uX74sKLBarcb8+fMtHi8kdmpqKsrKygTl4+zCwsIgl8uhVquh1Wrx5MkTfPLJJzhw4ADUarXJWL1ejw0bNiAnJ0eibIU7fvy4W8e3BGuAiIiIBpht8j08PJCRkQG9Xo/IyEj09PQAAORyucm4gIAA6HQ61NfXQ6VSQaVSQalUIjAwcMS5c3JycOXKFYsTHS32YMuWLcNXX31l8dyuwN/fHydPnkRjYyOmT5+O0NBQlJaWoqKiAomJicZxBoMBa9asQUpKCpKTkyXMWJjc3Fy3jm8J1gAREREN8DAYDAZzAzo6OjBr1iw8ePAAPj4+mDBhAlpaWqBQKIxj5HI5Dh8+jDfeeMO4raSkBOfPn8eBAwesTq64uBjFxcWoqamBVqu1OPahQ4fw9ddf48SJE1bHHuDh4THmOQYkJiZK/qbTrKwsTJ48Gdu3b7dZDJVKhXPnzgk+ztz94fn5+cPuz8/PFxzHmhzEjC91HdijBgDx62CkNRjYR0RE5G7MtvGGUezevdswefJk488zZ840fPbZZ8afb926ZQBguHPnjslxS5cuNVy4cGG06c0qKioyJCYmCo6dkpJiKCoqGlNssSUmJpp8FilUV1cbxo0bZ8zlzTfftEkcaz/r9evXR/wfgGG3i83W8aWuA3vVgMEgfh2MtAa2qANbyFb/2uRPd8RzwHNgMPAcGAw8BwYDz4GlzP1dOtrfsWZv1ykpKYFarUZkZKRxW2ZmJvLy8nDnzh3odDpkZ2dj6dKlmDVrlnHMw4cP8cc//hExMTFj+eVkCEti9/X1obq6GikpKaLGdhSbNm1CfHw83n///RHHVFZWIi4uDkqlElu3bjVuV6lU6O/vR3h4OFpbW/H666+bHPfgwQP4+vqivb3dZvmTOKytg4EaqKmpQXh4OGpra/Hpp5+aHMc6ICIicn5mm/y6ujosXrzYpMnPycnB8uXLER0djWnTpkGv1+PIkSMmx33xxRf46U9/ajbw7t27MW/ePEHJWhK7srISkZGRmDRpkqC5nUFzczN6e3tRW1uL/v5+NDQ0DDtuyZIlOH/+PC5duoQLFy4Meb749u3bsXfv3iHHFRQUYPHixTbJfaysue3DleIP5q514EhrQERE5OjMNvn79+9HW1ubSZMvk8mwb98+dHd3o6enB6WlpUMa6iNHjuDnP/+52cBbtmxBa2uroGQtiV1eXo7U1FRB8zqLS5cu4bXXXgMAJCUl4eLFi8OOGzduHIAXT1CZMmUK/P39TfZPnTp1yDHd3d3Q6XQm/yriSITWiqvFH8xd68CR1oCIiMjRmW3ydTodOjo6TJr80Vy9ehUvv/wy5syZM+bkrBEcHIyVK1dKEtvWtFqtsVGTy+XQarUjji0sLERISAgCAwPh7e096twFBQXIysoSLVexrVu3zq3jD+audeBIa0BEROTozDb5165dg5+fn6CGPSIiAt98882YEwMAhUKB9PR0Qcfs2LHD5i/lkopcLjc+LlSn0w156dFgmZmZaGtrQ2dnJ1paWszOq9Vqce/ePcG3T5E0WAdEREQ0GrNNfmxsLHQ6naiPkRTCmibflcXExODs2bMAgDNnzkCpVOLZs2d49OiRybinT58CADw9PTF+/Hj4+vqanffmzZtoa2tDcnIyTp8+jXfeecc2H4BEwTogIiKi0XhJnQBZbuHChfDx8UF8fDwUCgUWLVqE9vZ25OXl4dChQ8ZxRUVF+PLLL6HX66FSqRAaGgqNRoOmpiasXbsWu3btQklJCQwGA7799lvk5uYa7+tOT0/Htm3bpPqII9q5c6dbxx/MXevAkdaAiIjI0bHJtyONRgOVSjXmeWQyGa5evQqVSoWuri54eXkNO69MJkNtba3JvsOHDwMAgoKCAABVVVWoqqoyOS4jI2NM+Wk0GpMXlolh1apVos4nZXzWgXWkrgEiIiJnwibfTsRuegcMNGmORKFQiP55w8LCcP36dVHnlCI+68B6UtcAERGRM2GTbycFBQVSp0AOgHVARERE9mD2i7dEREREROR82OSTUxDjHnZnjk9cAyIiIiHY5JNTOHjwoFvHJ64BERGREGzyySm8++67bh2fuAZERERCsMknp9DX1+fW8YlrQEREJASbfHIKDQ0Nbh2fuAZERERCsMknIiIiInIxbPKJiIiIiFwMm3xyCseOHXPr+MQ1ICIiEoJvvLWTjRs3QqPRSJ2G3SgUCr7ddRisAyIiIrIHXsm3E41G4zbNnS0+64oVK0SdT6r4rAPrSV0DREREzoRX8u1IoVCgpqbGZvM/fvwYkydPRnNzMyIjI43bOzo6MGvWLPzhD39AWFiYzeIP4JtJzbNlHThKDQCsAyIiIinxSr4LaWhogK+vLyIiIky219fXw8/PDyEhIRJlRvbCGiAiIiKATb5LaWxshEKhgJeX6T/Q1NfXIyoqCp6ezrvc69evd+v4lmINEBEREeDgTX5xcbHgf/KPiorCqVOnbJOQg2tsbER0dPSQ7fX19cNudyZZWVluHd9SrAEiIiICrGjy9Xo9Nm/ejKCgIPj5+SEtLQ3d3d22yM2q2KmpqSgvL7dLPo5muAbv+fPnaG5uRnR0NG7duoWEhATEx8cjLi4OjY2NEmUqXEJCglvHtxRrgIiIiAArmny1Wo2ysjLU1dWhs7MTALB69WrRE7M2trs2+ffv38fDhw8RFRVlsl2j0aC3txdKpRIBAQE4ceIEamtrUVhYiE2bNkmUrXBdXV1uHd8SrAEiIiIaYPbpOq+88gpiY2MRERGBu3fv4ujRoygsLERubi5mz54NANizZw/mzp2Ljo4OBAcH2zRZS2IvWLAAMpkMTU1NQ5odVzbwS09AQIDJ9pKSEiiVSsyYMcNku7e3N2Qymd3yI9tjDRAREdEAs1fye3p6kJKSgv379yMyMhJarRZ37941aZ7nzJkDf39/XL58WVBgtVqN+fPnWzxeSOzU1FSUlZUJysfZhYWFQS6XQ61WQ6vV4smTJ/jkk09w4MABqNVqk7F6vR4bNmxATk6ORNkKFx4e7tbxLcEaICIiogFmm3wPDw9kZGRAr9cjMjISPT09AAC5XG4yLiAgADqdDgaDAVlZWYiJiUF0dDSOHDky4tw5OTm4cuWKxYmOFnuwZcuW4auvvrJ4blfg7++PkydPorGxEdOnT0doaChKS0tRUVGBxMRE4ziDwYA1a9YgJSUFycnJEmYszPHjx906viVYA0RERDTAw2AwGMwNGHiJzoMHD+Dj44MJEyagpaUFCoXCOEYul+Pw4cOYPXs23nvvPVRXV6Ovrw8RERG4ffu21ckVFxejuLgYNTU10Gq1ZmO/8cYbxm2HDh3C119/jRMnTlgde4CHh8eY5xiQmJho05dhWSIrKwuTJ0/G9u3bbRZDpVLh3Llzgo8zd3/46dOn8dprrw3Znp+fLziONTmIGV/qOrBHDQDi18FIawCIXwdERETOwFwbP+obb0tKSjB58mRMmTIFADBz5kw0NzcbG+3bt29Dp9Nh/vz58Pf3x0svvYTvvvsOPT09mDhxokgf4cUVe3OxBysvL0daWpoocUf5HchijvD2z5qaGhQWFiI2NhZnz57FxIkTUVpaapNY1jSyN27cGHFffn4+jh49OmT7xx9/LDQ1q3IQK77UdWDPGgDErYOR1gAQvw5sISevEOrsTOOf7ojngOcA4DkAeA4AngNLDfQNw/1dOlpPYbbJLykpgVqtRmxsrHFbZmYm8vLysGTJEgQGBiI7OxtLly7FrFmzYDAYMGfOHPzgBz9AX18ffv3rXwv+MOaYiz2gr68P1dXVKCoqEjW2K1CpVOjv75c6DZIQa4CIiMg9mL0nv66uDosXL0ZkZKRxW05ODpYvX47o6GhMmzYNer3eeO99ZWUl7t+/j/b2dty4cQNbt27F06dPh5179+7dmDdvnqBkzcUeUFlZicjISEyaNEnQ3M5i06ZNiI+Px/vvvz/imMrKSsTFxUGpVGLr1q1D9q9btw5BQUH49NNPTbY/ePAAvr6+aG9vFz1vEhfrgIiIiMwx2+Tv378fbW1tJk2+TCbDvn370N3djZ6eHpSWlpo01BMnToRMJoOfnx++++476PX6YefesmULWltbBSU7Wmzgxa06qampguZ1Fs3Nzejt7UVtbS36+/vR0NAw7LglS5bg/PnzuHTpEi5cuDDk+eLbt2/H3r17hxxXUFCAxYsX2yT3sbLm3m5Xij+Yu9aBI60BERGRozPb5Ot0OnR0dJg0+eYkJSXBYDDg7/7u7xAbG4v33nsPL7/8siiJWio4OBgrV660a0x7uXTpkvGLh0lJSbh48eKw48aNGwfgxWMSp0yZAn9/f5P9U6dOHXJMd3c3dDqdya1PjkToL4SuFn8wd60DR1oDIiIiR2e2yb927Rr8/PwwZ84ciyaTyWQoLi7GN998g4aGBmzYsGFMySkUCqSnpws6ZseOHTZ/KZdUtFqtsVGTy+XQarUjji0sLERISAgCAwPh7e096twFBQXIysoSLVexrVu3zq3jD+audeBIa0BEROTozDb5sbGx0Ol0oj5GUghrmnxXJpfLje8E0Ol0Q95sOlhmZiba2trQ2dmJlpYWs/NqtVrcu3dP8HckSBqsAyIiIhqN2SafHEtMTAzOnj0LADhz5gyUSiWePXuGR48emYwb+LKzp6cnxo8fD19fX7Pz3rx5E21tbUhOTsbp06fxzjvv2OYDkChYB0RERDSaUZ+TT45j4cKF8PHxQXx8PBQKBRYtWoT29nbk5eXh0KFDxnFFRUX48ssvodfroVKpEBoaCo1Gg6amJqxduxa7du1CSUkJDAYDvv32W+Tm5hrv605PT8e2bduk+ogj2rlzp1vHH8xd68CR1oCIiMjRscm3I41GI8rLkGQyGa5evQqVSoWuri54eXkNO69MJkNtba3JvsOHDwMAgoKCAABVVVWoqqoyOS4jI2NM+Wk0GpO3Eoth1apVos4nZXzWgXWkrgEiIiJnwibfTsRuegcMNGmORKFQiP55w8LCcP36dVHnlCI+68B6UtcAERGRM2GTbycFBQVSp0AOgHVARERE9sAv3hIRERERuRg2+eQUxLiH3ZnjE9eAiIhICDb55BQOHjzo1vGJa0BERCQEm3xyCrm5uW4dn7gGREREQrDJJ6dw9OhRt45PXAMiIiIh2OQTEREREbkYNvlERERERC6GTT45hWPHjrl1fOIaEBERCcGXYdnJxo0bodFopE7DbhQKBV/8NAzWAREREdkDr+TbiUajcZvmzhafdcWKFaLOJ1V81oH1pK4BIiIiZ8Ir+XakUChQU1MjdRo2x5cWmcc6ICIiIlvjlXwX8vjxY3h4eKClpcVke0dHBzw8PHD9+nWJMiN7YQ0QERERwCbfpTQ0NMDX1xcREREm2+vr6+Hn54eQkBCJMhu79evXu3V8S7EGiIiICGCT71IaGxuhUCjg5WV6F1Z9fT2ioqLg6em8y52VleXW8S3FGiAiIiLAwZv84uJiwff1RkVF4dSpU7ZJyME1NjYiOjp6yPb6+vphtzuThIQEt45vKdYAERERAVY0+Xq9Hps3b0ZQUBD8/PyQlpaG7u5uW+RmVezU1FSUl5fbJR9HM1yD9/z5czQ3NyM6Ohq3bt1CQkIC4uPjERcXh8bGRokyFa6rq8ut41uKNUBERESAFU2+Wq1GWVkZ6urq0NnZCQBYvXq16IlZG9tdm/z79+/j4cOHiIqKMtmu0WjQ29sLpVKJgIAAnDhxArW1tSgsLMSmTZskypZsgTVAREREA8w+QvOVV15BbGwsIiIicPfuXRw9ehSFhYXIzc3F7NmzAQB79uzB3Llz0dHRgeDgYJsma0nsBQsWQCaToampaUiz48oGfukJCAgw2V5SUgKlUokZM2aYbPf29oZMJrNbfmMVHh7u1vEtwRogIiKiAWav5Pf09CAlJQX79+9HZGQktFot7t69a9I8z5kzB/7+/rh8+bKgwGq1GvPnz7d4vJDYqampKCsrE5SPswsLC4NcLodarYZWq8WTJ0/wySef4MCBA1Cr1SZj9Xo9NmzYgJycHImyFe748eNuHd8SrAEiIiIaYLbJ9/DwQEZGBvR6PSIjI9HT0wMAkMvlJuMCAgKg0+kAAP/yL/+C2NhYqFQqXLt2bcS5c3JycOXKFYsTtST2gGXLluGrr76yeG5X4O/vj5MnT6KxsRHTp09HaGgoSktLUVFRgcTEROM4g8GANWvWICUlBcnJyRJmLExubq5bx7cEa4CIiIgGeBgMBoO5AR0dHZg1axYePHgAHx8fTJgwAS0tLVAoFMYxcrkchw8fxsyZM/HLX/4S//3f/40//vGPWLt2Lc6ePWt1csXFxSguLkZNTQ20Wq3Z2G+88YZx26FDh/D111/jxIkTVsce4OHhMeY5BiQmJkr+ptOsrCxMnjwZ27dvt1kMlUqFc+fOCT7O3P3h+fn5w+7Pz88XHMeaHMSML3Ud2KMGAPHrYKQ1GNhHRETkbsy28YZR7N692zB58mTjzzNnzjR89tlnxp9v3bplAGC4c+eO4be//a1h69atxn1Tp041fPfdd6OFGFFRUZEhMTHRotiDpaSkGIqKiqyOawuJiYkmn0UK1dXVhnHjxhlzefPNN20Sx9rPev369RH/B2DY7WKzdXyp68BeNWAwiF8HI62BLerAFrLVvzb50x3xHPAcGAw8BwYDz4HBwHNgKXN/l472d6zZ23VKSkqgVqsRGRlp3JaZmYm8vDzcuXMHOp0O2dnZWLp0KWbNmoV58+ahuroa/f39aG4NoQvGAAAgAElEQVRuxsOHD6HVasX4RWXU2AP6+vpQXV2NlJQU0eI6kk2bNiE+Ph7vv//+iGMqKysRFxcHpVKJrVu3GrerVCr09/cjPDwcra2teP31102Oe/DgAXx9fdHe3m6z/Ekc1tbBQA3U1NQgPDwctbW1+PTTT02OYx0QERE5P7NNfl1dHRYvXmzS5Ofk5GD58uWIjo7GtGnToNfrceTIEQDAvHnz8NOf/hRJSUk4cOAAIiIiEBgYOOzcu3fvxrx58wQlay72gMrKSkRGRmLSpEmC5nYGzc3N6O3tRW1tLfr7+9HQ0DDsuCVLluD8+fO4dOkSLly4MOT54tu3b8fevXuHHFdQUIDFixfbJPexsua2D1eKP5i71oEjrQEREZGjM9vk79+/H21tbSZNvkwmw759+9Dd3Y2enh6UlpaaNNRZWVn4/e9/j40bN0KhUIx4T/uWLVvQ2toqKNnRYgNAeXk5UlNTBc3rLC5duoTXXnsNAJCUlISLFy8OO27cuHEAXjxBZcqUKfD39zfZP3Xq1CHHdHd3Q6fTmfyriCMRWiuuFn8wd60DR1oDIiIiR2e2ydfpdOjo6DBp8kfz4x//GD/60Y/wr//6r9i3b9+YExQqODgYK1eutHtce9BqtcZGTS6Xm70VqrCwECEhIQgMDIS3t/eocxcUFCArK0u0XMW2bt06t44/mLvWgSOtARERkaMz2+Rfu3YNfn5+mDNnjsUTVlZWoqqqCv/5n/+JoKCgMSWnUCiQnp4u6JgdO3bY/KVcUpHL5cbHhep0uiEvPRosMzMTbW1t6OzsREtLi9l5tVot7t27J/j2KZIG64CIiIhGY7bJj42NhU6nE/UxkkJY0+S7spiYGOMjSc+cOQOlUolnz57h0aNHJuOePn0KAPD09MT48ePh6+trdt6bN2+ira0NycnJOH36NN555x3bfAASBeuAiIiIRuMldQJkuYULF8LHxwfx8fFQKBRYtGgR2tvbkZeXh0OHDhnHFRUV4csvv4Rer4dKpUJoaCg0Gg2ampqwdu1a7Nq1CyUlJTAYDPj222+Rm5trvK87PT0d27Ztk+ojjmjnzp1uHX8wd60DR1oDIiIiR8cm3440Gg1UKtWY55HJZLh69SpUKhW6urrg5eU17LwymQy1tbUm+w4fPgwAxlupqqqqUFVVZXJcRkbGmPLTaDQmLywTw6pVq0SdT8r4rAPrSF0DREREzoRNvp2I3fQOGOv3HmxBoVCI/nnDwsJw/fp1UeeUIj7rwHpS1wAREZEzYZNvJwUFBVKnQA6AdUBERET2YPaLt0RERERE5HzY5JNTEOMedmeOT1wDIiIiIdjkk1M4ePCgW8cnrgEREZEQbPLJKbz77rtuHZ+4BkREREKwySen0NfX59bxiWtAREQkBJt8cgoNDQ1uHZ+4BkREREKwySciIiIicjFs8omIiIiIXAybfHIKx44dc+v4xDUgIiISgm+8tZONGzdCo9FInYbdKBQKvt11GKwDIiIisgdeybcTjUbjNs2dLT7rihUrRJ1PqvisA+tJXQNERETOhFfy7UihUKCmpsZm8z9+/BiTJ09Gc3MzIiMjjds7Ojowa9Ys/OEPf0BYWJjN4g/gm0nNs2UdOEoNAKwDIiIiKfFKvgtpaGiAr68vIiIiTLbX19fDz88PISEhEmVG9sIaICIiIoBNvktpbGyEQqGAl5fpP9DU19cjKioKnp7Ou9zr16936/iWYg0QERER4OBNfnFxsaB/8o+KisKpU6dsl5CDa2xsRHR09JDt9fX1w253JllZWW4d31KsASIiIgJGafI3b96MoKAg+Pn5IS0tDd3d3fbKa1h6vd5sTqmpqSgvL5cwQ2kN1+A9f/4czc3NiI6Oxq1bt5CQkID4+HjExcWhsbFRokyFS0hIcOv4lmINEBERETBKk19WVoa6ujp0dnYCAFavXm2XpEaiVqvN5uTOTf79+/fx8OFDREVFmWzXaDTo7e2FUqlEQEAATpw4gdraWhQWFmLTpk0SZStcV1eXW8e3BGuAiIiIBph9uk52djZmz54NANizZw/mzp2Ljo4OBAcH2yW5v1ZYWIjc3NwRc1qwYAFkMhmampqGNDqubuCXnoCAAJPtJSUlUCqVmDFjhsl2b29vyGQyu+VHtscaICIiogFmr+QPbpTnzJkDf39/XL58WZTAarUa8+fPt3i8VqvF3bt3R80pNTUVZWVlouToTMLCwiCXy6FWq6HVavHkyRN88sknOHDgANRqtclYvV6PDRs2ICcnR6JshQsPD3fr+JZgDRAREdEAs02+XC43+TkgIAA6nQ4AkJSUhKCgIHz44YcmY44cOYKYmBjExMSgurp6xLlzcnJw5coVixPt6ekZNScAWLZsGb766iuL53UV/v7+OHnyJBobGzF9+nSEhoaitLQUFRUVSExMNI4zGAxYs2YNUlJSkJycLGHGwhw/ftyt41uCNUBEREQDPAwGg2GknRqNBgqFwvizXC7H4cOH8cYbb6CzsxNnzpxBZ2cntm3bBuDF1XaVSoVLly6ht7cXSUlJaG5utvqxfcXFxSguLkZNTQ20Wi0mTJiAlpaWEXMCgEOHDuHrr7/GiRMnrIr51zw8PESZBwASExNt+jIsS2RlZWHy5MnYvn27zWKoVCqcO3dO8HHm7g8/ffo0XnvttSHb8/PzBcexJgcx40tdB/aoAUD8OhhpDQDx64CIiMgZmGnjzd+T39zcbGyob9++DZ1OZ7zFZvr06UPG19XVITExET4+PvDx8cH3vvc9/PGPfzTeQz8WAQEBmDlzptmcAKC8vBxpaWljjjfA3MkTwhHe/llTU4PCwkLExsbi7NmzmDhxIkpLS20Sy5pG9saNGyPuy8/Px9GjR4ds//jjj4WmZlUOYsWXug7sWQOAuHUw0hoA4teBLeTkFUKdnWn80x3xHPAcADwHAM8BwHNgqYG+Ybi/S0frKcw2+Xl5eViyZAkCAwORnZ2NpUuXYtasWSOO/9Of/oQJEyYYf54wYQL+9Kc/idLkA0BmZqbZnPr6+lBdXY2ioiJR4rkalUqF/v5+qdMgCbEGiIiI3IPZ+2iWL1+O6OhoTJs2DXq9HkeOHDE7WWBgIP785z8bf9ZqtQgMDBx27O7duzFv3jxByebk5JjNqbKyEpGRkZg0aZKgeZ3Jpk2bEB8fj/fff3/EMZWVlYiLi4NSqcTWrVuH7F+3bh2CgoLw6aefmmx/8OABfH190d7eLnreJC7WAREREZljtsnft28furu70dPTg9LS0lGb58WLF6O2thZPnz7FkydPcP/+/RGv/G/ZsgWtra2CkpXJZGZzKi8vR2pqqqA5nUlzczN6e3tRW1uL/v5+NDQ0DDtuyZIlOH/+PC5duoQLFy4Meb749u3bsXfv3iHHFRQUYPHixTbJfaysubfbleIP5q514EhrQERE5Ois+0YsgDVr1mDv3r0oLi7G8uXLAby4b37jxo1QqVRYtmwZPvroI6u/dGuN4OBgrFy50m7x7O3SpUvGLx4mJSXh4sWLw44bN24cgBePSZwyZQr8/f1N9k+dOnXIMd3d3dDpdGZvx5KS0F8IXS3+YO5aB460BkRERI7O6g78888/R2trK9rb2/G73/3OuP2tt97CxYsXcfHiRbz66qtjSk6hUCA9Pd3i8Tt27JDsRV32oNVqjY2aXC6HVqsdcWxhYSFCQkIQGBgIb2/vUecuKChAVlaWaLmKbd26dW4dfzB3rQNHWgMiIiJHZ7/L7FYQ2uS7OrlcbnwngE6nG/Jm08EyMzPR1taGzs5OtLS0mJ1Xq9Xi3r17gr8jQdJgHRAREdFoHLrJJ1MxMTE4e/YsAODMmTNQKpV49uwZHj16ZDLu6dOnAABPT0+MHz8evr6+Zue9efMm2trakJycjNOnT+Odd96xzQcgUbAOiIiIaDRmH6FJjmXhwoXw8fFBfHw8FAoFFi1ahPb2duTl5eHQoUPGcUVFRfjyyy+h1+uhUqkQGhoKjUaDpqYmrF27Frt27UJJSQkMBgO+/fZb5ObmGu/rTk9PN77czJHs3LnTreMP5q514EhrQERE5OjY5NuRRqMR5WVIMpkMV69ehUqlQldXF7y8vIadVyaToba21mTf4cOHAQBBQUEAgKqqKlRVVZkcl5GRMab8/vpNyWJYtWqVqPNJGZ91YB2pa4CIiMiZsMm3E7Gb3gEDTZojUSgUon/esLAwXL9+XdQ5pYjPOrCe1DVARETkTNjk20lBQYHUKZADYB0QERGRPfCLt0RERERELoZNPjkFMe5hd+b4xDUgIiISgk0+OYWDBw+6dXziGhAREQnBJp+cQm5urlvHJ64BERGREGzyySkcPXrUreMT14CIiEgINvlERERERC6GTT4RERERkYthk09O4dixY24dn7gGREREQvBlWHayceNGaDQaqdOwG4VCwRc/DYN1QERERPbAK/l2otFo3Ka5s8VnXbFihajzSRWfdWA9qWuAiIjImfBKvh0pFArU1NRInYbN8aVF5rEOiIiIyNZ4Jd+FPH78GB4eHmhpaTHZ3tHRAQ8PD1y/fl2izMheWANEREQEsMl3KQ0NDfD19UVERITJ9vr6evj5+SEkJESizMZu/fr1bh3fUqwBIiIiAtjku5TGxkYoFAp4eZnehVVfX4+oqCh4ejrvcmdlZbl1fEuxBoiIiAhw8Ca/uLhY0H29UVFROHXqlO0ScnCNjY2Ijo4esr2+vn7Y7c4kISHBreNbijVAREREwChN/ubNmxEUFAQ/Pz+kpaWhu7vbXnkNS6/Xm80pNTUV5eXlEmYoreEavOfPn6O5uRnR0dG4desWEhISEB8fj7i4ODQ2NkqUqXBdXV1uHd9SrAEiIiICRmnyy8rKUFdXh87OTgDA6tWr7ZLUSNRqtdmc3LnJv3//Ph4+fIioqCiT7RqNBr29vVAqlQgICMCJEydQW1uLwsJCbNq0SaJsyRZYA0RERDTA7CM0s7OzMXv2bADAnj17MHfuXHR0dCA4ONguyf21wsJC5ObmjpjTggULIJPJ0NTUNKTRcXUDv/QEBASYbC8pKYFSqcSMGTNMtnt7e0Mmk9ktv7EKDw936/iWYA0QERHRALNX8gc3ynPmzIG/vz8uX74sSmC1Wo358+dbPF6r1eLu3buj5pSamoqysjJRcnQmYWFhkMvlUKvV0Gq1ePLkCT755BMcOHAAarXaZKxer8eGDRuQk5MjUbbCHT9+3K3jW4I1QERERAPMNvlyudzk54CAAOh0OgBAUlISgoKC8OGHH5qMGWn7X8vJycGVK1csTrSnp2fUnABg2bJl+Oqrryye11X4+/vj5MmTaGxsxPTp0xEaGorS0lJUVFQgMTHROM5gMGDNmjVISUlBcnKyhBkLk5ub69bxLcEaICIiogFmb9f5y1/+YvKzVquFv78/gBdPvjlz5ozxFoEBI20fKz8/v1FzAl689GfmzJmixfXw8BBtrsGNli3ExcXhm2++MTvmvffew9y5c/Huu+/aNJdz584JPnfm7g8/evQopk+fPmR7fn6+4NysyUHM+LasA0eqAUDcOhhpDQDx68BW8nJ+YfKnO+I54DkAeA4AngOA50AIa/pRs01+c3MzFAoFAOD27dvQ6XTGW2xG+st2pO1jFRAQgJkzZ5rNCQDKy8uRlpYmWlyDwSDKPEIeBWorNTU1KCwsRGxsLM6ePYuJEyeitLTUJrESExNRU1Mj6JgbN26MuC8/Px+ZmZlDtn/88cdCU7MqB7HiS10H9qwBQNw6GGkNAPHrwBZy8gqhzs40/umOeA54DgCeA4DnAOA5sNRA3zDc36Wj9RRmb9fJy8vDnTt3oNPpkJ2djaVLl2LWrFlWpjl2mZmZZnPq6+tDdXU1UlJSJMvR1jZt2oT4+Hi8//77I46prKxEXFwclEoltm7datyuUqnQ39+P8PBwtLa24vXXXzc57sGDB/D19UV7e7vN8idxWFsHAzVQU1OD8PBw1NbW4tNPPzU5jnVARETk/Mw2+cuXL0d0dDSmTZsGvV6PI0eOiBZ49+7dmDdvnqBjcnJyzOZUWVmJyMhITJo0SbQ8HUlzczN6e3tRW1uL/v5+NDQ0DDtuyZIlOH/+PC5duoQLFy4Meb749u3bsXfv3iHHFRQUYPHixTbJfazOnTvn1vEHc9c6cKQ1ICIicnRmm/x9+/ahu7sbPT09KC0tFbV53rJlC1pbWwUdI5PJzOZUXl6O1NRU0XJ0NJcuXcJrr70G4MUXnC9evDjsuHHjxgF48QSVKVOmmHxnAQCmTp065Jju7m7odDpJ/6XGHKG14mrxB3PXOnCkNSAiInJ0Zpt8c9asWYO9e/eiuLgYy5cvH3W7PQQHB2PlypV2jWlPg79kLJfLodVqRxxbWFiIkJAQBAYGwtvbe9S5CwoKkJWVJVquYlu3bp1bxx/MXevAkdaAiIjI0Zn94q05n3/+uaDt1lAoFEhPT7d4/I4dO0SL7YjkcrnxcaE6nW7IS48Gy8zMREZGBn7yk5+gpaUFkZGRI47VarW4d++e4NunSBqsAyIiIhqN1Vfy7UFok+/qYmJicPbsWQDAmTNnoFQq8ezZMzx69Mhk3NOnTwEAnp6eGD9+PHx9fc3Oe/PmTbS1tSE5ORmnT5/GO++8Y5sPQKJgHRAREdForL6ST/a3cOFC+Pj4ID4+HgqFAosWLUJ7ezvy8vJw6NAh47iioiJ8+eWX0Ov1UKlUCA0NhUajQVNTE9auXYtdu3ahpKQEBoMB3377LXJzc433daenp2Pbtm1SfcQR7dy5063jD+audeBIa0BEROTo2OTbkUajEeU56TKZDFevXoVKpUJXVxe8vLyGnVcmk6G2ttZk3+HDhwEAQUFBAICqqipUVVWZHJeRkTGm/DQajfFdBmJZtWqVqPNJGZ91YB2pa4CIiMiZsMm3E7Gb3gEDTZojUSgUon/esLAwXL9+XdQ5pYjPOrCe1DVARETkTNjk20lBQYHUKZADYB0QERGRPTj0F2+JiIiIiEg4NvnkFMS4h92Z4xPXgIiISAg2+eQUDh486NbxiWtAREQkBJt8cgrvvvuuW8cnrgEREZEQbPLJKfT19bl1fOIaEBERCcEmn5xCQ0ODW8cnrgEREZEQbPKJiIiIiFwMm3wiIiIiIhfDl2HZycaNG6HRaKROw24UCoWoL346duyYaHNJGZ91YD2pa4CIiMiZ8Eq+nWg0Grdp7tzpswrlTufGnT4rERGRo+GVfDtSKBSoqamROg2bs8VLi1asWIHr16+LPq8U8VkH1pG6BoiIiJwJr+S7kMePH8PDwwMtLS0m2zs6OuDh4cEGyQ2wBoiIiAhgk+9SGhoa4Ovri4iICJPt9fX18PPzQ0hIiESZkb2wBoiIiAhgk+9SGhsboVAo4OVlehdWfX09oqKi4OnpvMu9fv16t45vKdYAERERAQ7e5BcXFwu6rzcqKgqnTp2yXUIOrrGxEdHR0UO219fXD7vdmWRlZbl1fEuxBoiIiAgYpcnfvHkzgoKC4Ofnh7S0NHR3d9srr2Hp9XqzOaWmpqK8vFzCDKU1XIP3/PlzNDc3Izo6Grdu3UJCQgLi4+MRFxeHxsZGiTIVLiEhwa3jW4o1QERERMAoTX5ZWRnq6urQ2dkJAFi9erVdkhqJWq02m5M7N/n379/Hw4cPERUVZbJdo9Ggt7cXSqUSAQEBOHHiBGpra1FYWIhNmzZJlK1wXV1dbh3fEqwBIiIiGmD2EZrZ2dmYPXs2AGDPnj2YO3cuOjo6EBwcbJfk/lphYSFyc3NHzGnBggWQyWRoamoa0ui4uoFfegICAky2l5SUQKlUYsaMGSbbvb29IZPJ7JYf2R5rgIiIiAaYvZI/uFGeM2cO/P39cfnyZVECq9VqzJ8/3+LxWq0Wd+/eHTWn1NRUlJWViZKjMwkLC4NcLodarYZWq8WTJ0/wySef4MCBA1Cr1SZj9Xo9NmzYgJycHImyFS48PNyt41uCNUBEREQDzDb5crnc5OeAgADodDoAQFJSEoKCgvDhhx8a9wu53zcnJwdXrlyxONGenp5RcwKAZcuW4auvvrJ4Xlfh7++PkydPorGxEdOnT0doaChKS0tRUVGBxMRE4ziDwYA1a9YgJSUFycnJEmYszPHjx906viVYA0RERDTAw2AwGEbaqdFooFAojD/L5XIcPnwYb7zxBjo7O3HmzBl0dnZi27ZtAIA//elPAIDAwED84Q9/wC9+8QvU1tZanVxxcTGKi4tRU1MDrVaLCRMmoKWlZcScAODQoUP4+uuvceLECavjDubh4SHKPACQmJgo+ZtOs7KyMHnyZGzfvt1mMVQqFc6dOyf4OHP3h58+fRqvvfbakO35+fmC41iTg5jxpa4De9QAIH4djLQGgPh1QERE5AzMtPHm78lvbm42NtS3b9+GTqcz3mIzffr0IeMDAwON/y32/b4BAQGYOXOm2ZwAoLy8HGlpaaLFNXfyhBDyKFBbqampQWFhIWJjY3H27FlMnDgRpaWlNollTSN748aNEffl5+fj6NGjQ7Z//PHHQlOzKgex4ktdB/asAUDcOhhpDQDx68AWcvIKoc7ONP7pjngOeA4AngOA5wDgObDUQN8w3N+lo/UUZpv8vLw8LFmyBIGBgcjOzsbSpUsxa9asUROy1f2+mZmZZnPq6+tDdXU1ioqKRI3rKlQqFfr7+6VOgyTEGiAiInIPZu/JX758OaKjozFt2jTo9XocOXJk1Aktvd939+7dmDdvnqBkc3JyzOZUWVmJyMhITJo0SdC8zmTTpk2Ij4/H+++/P+KYyspKxMXFQalUYuvWrUP2r1u3DkFBQfj0009Ntj948AC+vr5ob28XPW8SF+uAiIiIzDHb5O/btw/d3d3o6elBaWmpRc3ze++9h7lz5+Ldd981O27Lli1obW0VlKxMJjObU3l5OVJTUwXN6Uyam5vR29uL2tpa9Pf3o6GhYdhxS5Yswfnz53Hp0iVcuHBhyPPFt2/fjr179w45rqCgAIsXL7ZJ7mNlzb3drhR/MHetA0daAyIiIkdntsk3Z82aNdi7dy+Ki4uxfPlyAP93v+/Zs2ehUqnwk5/8RLRELREcHIyVK1faNaY9Xbp0yfjFw6SkJFy8eHHYcePGjQPw4rapKVOmwN/f32T/1KlThxzT3d0NnU5n0e1YUhD6C6GrxR/MXevAkdaAiIjI0Vnd5H/++edobW1Fe3s7fve73wH4v/t9a2pqUFNTM+Yv9CkUCqSnp1s8fseOHZK9qMsetFqtsVGTy+XQarUjji0sLERISAgCAwPh7e096twFBQXIysoSLVexrVu3zq3jD+audeBIa0BEROTorG7y7UFok+/q5HK58Z0AOp1uyJtNB8vMzERbWxs6OzvR0tJidl6tVot79+4J/o4ESYN1QERERKNx6CafTMXExODs2bMAgDNnzkCpVOLZs2d49OiRybinT58CADw9PTF+/Hj4+vqanffmzZtoa2tDcnIyTp8+jXfeecc2H4BEwTogIiKi0Zh9hCY5loULF8LHxwfx8fFQKBRYtGgR2tvbkZeXh0OHDhnHFRUV4csvv4Rer4dKpUJoaCg0Gg2ampqwdu1a7Nq1CyUlJTAYDPj222+Rm5trvK87PT3d+HIzR7Jz5063jj+Yu9aBI60BERGRo2OTb0cajUaUlyHJZDJcvXoVKpUKXV1d8PLyGnZemUyG2tpak32HDx8GAAQFBQEAqqqqUFVVZXJcRkbGmPL76zcli2HVqlWizidlfNaBdaSuASIiImfCJt9OxG56Bww0aY5EoVCI/nnDwsJw/fp1UeeUIj7rwHpS1wAREZEzYZNvJwUFBVKnQA6AdUBERET2wC/eEhERERG5GDb55BTEuIfdmeMT14CIiEgINvnkFA4ePOjW8YlrQEREJASbfHIKubm5bh2fuAZERERCsMknp3D06FG3jk9cAyIiIiHY5BMRERERuRg2+URERERELoZNPjmFY8eOuXV84hoQEREJwZdh2cnGjRuh0WikTsNuFAoFX/xEREREJBFeybcTjUbjNk2+LT7rihUrRJ3P2eIT14CIiEgIXsm3I4VCgZqaGqnTsDm+tIiIiIhIWryS70IeP34MDw8PtLS0mGzv6OiAh4cHrl+/LlFmRERERGRPbPJdSENDA3x9fREREWGyvb6+Hn5+fggJCZEos7Fbv369W8cnrgEREZEQbPJdSGNjIxQKBby8TO/Cqq+vR1RUFDw9nXe5s7Ky3Do+cQ2IiIiEcOiur7i4WND93VFRUTh16pTtEnJwjY2NiI6OHrK9vr5+2O3OJCEhwa3jE9eAiIhICLNN/ubNmxEUFAQ/Pz+kpaWhu7vbXnkNS6/Xm80pNTUV5eXlEmYoreGa/OfPn6O5uRnR0dF49OgRYmNjoVKpsHjxYpw9e1aiTIXr6upy6/jENSAiIhLCbJNfVlaGuro6dHZ2AgBWr15tl6RGolarzebkzk3+/fv38fDhQ0RFRZls12g06O3thVKpxKRJk1BbW4uamhr8x3/8B3JyciTKloiIiIhsyWyTn52djdmzZ0Mul2PPnj2oqKhAR0eHvXIborCw0GxOCxYsgEwmQ1NTk2Q5SmXgl56AgACT7SUlJVAqlZgxYwZkMhlkMhkAQKvVYv78+XbP01rh4eFuHZ+4BkREREKYbfIHXxWeM2cO/P39cfnyZVECq9VqQU2mVqvF3bt3R80pNTUVZWVlouToTMLCwiCXy6FWq6HVavHkyRN88sknOHDgANRqtXHcnTt3EBcXh6VLl+LNN9+UMGNhjh8/7tbxiWtAREQkhNkmXy6Xm/wcEBAAnU4HAEhKSkJQUBA+/PBD434h93zn5OTgypUrFifa09Mzak4AsGzZMnz11VcWz+sq/P39cfLkSTQ2NmL69OkIDQ1FaWkpKioqkJiYaBz3/e9/H+fPn0ddXZ1TPa0kNzfXreX2b0YAACAASURBVOMT14CIiEgIs2+8/ctf/mLys1arhb+/P4AXT745c+aM8TYRAMZ7vmUyGW7fvo1//Md/RENDgyiJ+vn5jZoT8OLFTzNnzhQlJgB4eHiINtfgZtsW4uLi8M0334y4/+nTp/D29gbw4peCV155xWa5nDt3TvC527Rp04j7jh49iunTpw/Znp+fLzg3a3KwV3wSvgaA86xDXs4vTP50RzwHPAcAzwHAcwDwHAhhTT9qtslvbm6GQqEAANy+fRs6nc54i81wf9kO3O8NiH/Pd0BAAGbOnGk2JwAoLy9HWlqaaHENBoMo8wh5FKitNDQ0YMuWLZDJZPjuu++wf/9+m8VKTExETU2NoGNu3Lgx4r78/HxkZmYO2f7xxx8LTc2qHOwVn4SvAeAc65CTVwh1dqbxT3fEc8BzAPAcADwHAM+BpQb6x+F6qtF6S7O36+Tl5eHOnTvQ6XTIzs7G0qVLMWvWLLMT2vKe78zMTLM59fX1obq6GikpKaLGFcPTp0/R1NQEHx8fPHv2bMj+9PR0LF68GCqVCiUlJQCAjRs3QqVSQaVSYcKECSPOrVarkZiYiOjoaJw4ccJk33fffYeYmBi88sormDJlCn7/+9+juroa58+fx1/+8hfMmDFjxHmvXbuG2NhYxMfH45//+Z+H/MKza9cufO9738O2bdtMtuv1ely4cAFnzpwZ9bwQERERkfjMNvnLly9HdHQ0pk2bBr1ejyNHjow6oaX3fO/evRvz5s0TlGxOTo7ZnCorKxEZGYlJkyYJmtcexo0bh/nz50OpVI445osvvkBNTQ3+6Z/+CQBQUFCAmpoa5OfnY9myZSMe98EHH+DcuXOorq5GXl6eyT4vLy/813/9F1asWDHkuGPHjplt8kNCQnDhwgXU1tYCePEc/sEyMjLwxRdfDDnu4cOHGD9+/IjzWuPcuXOizuds8YlrQEREJITZJn/fvn3o7u5GT08PSktLR22enz59avzv0e753rJlC1pbWwUlK5PJzOZUXl6O1NRUQXPai6enJ8aNGzfifg8PD7z11ltYvnz5kMeUnjhxAj/5yU9GPHZg3v/93//FD3/4wyHzTp48ecgxX3/9NZKSkuDpOXIJDM7X29t7yC8EkydPHnKPWH9/P3Q63ZAvSI+V0FoRm9TxiWtAREQkhNkm35w1a9Zg7969KC4uxvLlywG8uOc7ISEBS5YswT/8wz/Y9J7v4QQHB2PlypV2jSmWjz76CBcuXEB2djY++OADk30VFRVITk42e/y6deswf/58/OhHP7Io3m9+8xv8/Oc/H3VceXk5fvjDH+LRo0cIDAwcdXxxcTH+5m/+xqIchFi3bp3oczpTfOIaEBERCWF1k//555+jtbUV7e3t+N3vfgfgxdNdBt/z/eqrr44pOYVCgfT0dIvH79ixA8HBwWOKKZWJEycCeHEOHz58aNz+P//zP5g2bRpefvlls8cfOHAAN27cwK5du0aNVVVVhZiYGLz00kujjn3jjTdw7do1TJ8+HSdPnjQ79tmzZzh16pRFvwwQERERke1Y3eTbg9Am35kNPOv/5s2bJm+tPXHihMkXmHt6ekzeCwD8321Svr6+Jo8THcm1a9dQXl6O5ORktLa2Gr84e//+/WHnBV7cfuXr62t23kePHuHu3bu4cuUKHj16hF/+8pf485//PGo+RERERCQuh27yXcnz589x+fJlXL58GUuXLkVdXR0ePnxovPL+s5/9DHFxccjIyDB5Q+3JkyeNt0MBwG9/+1vjv5wMeP/9941P4dm8eTOAF7fNNDU1AQBWrVqFyspKvP322ygrK8OGDRtQVVWFiooKzJs3Dx9++CGePXs25BeqgRdpJSYm4tGjR/jxj39skvNnn32GDz74AF988QXWr1+PadOmoaGhAfPnz8fkyZPxb//2b2afCiTEzp07RZnHWeMT14CIiEgIs8/JJ/F4enrCYDBAoVBAr9cjOzvbuO/06dMAXjwJB4DJU4k8PT1NruTfvn0bM2fOxKFDh4bEeOmll/CrX/0Kv/rVr4bs+8EPfgDgxbPGB784yMvLCyqVCj09Pejt7R3yzNWBL9a2t7eb3O8/kLOfnx/8/PzQ2tpqPFaj0UChUCApKWn0E2OhVatWiTaXM8YnrgEREZEQvJJvJwqFwvgSr7GYPXu28ZcBMfn5+WHq1KmizCXWZx0sLCxM1PmcLT5xDYiIiITglXw7KSgokDoFIiIiInITvJJPRERERORi2OSTU/jr7wq4W3ziGhAREQnBJp+cwsGDB906PnENiIiIhGCTT07h3Xffdev4xDUgIiISgl+8JYcRGho64r7ExESz+22dg73iE9eAiIhIDLyST05hx44dbh2fuAZERERCsMknIiIiInIxbPKJiIiIiFwMm3wiIiIiIhfDJp+IiIiIyMWwySciIiIicjFs8omIiIiIXAyfk09EZAN6/XM0XLkBg8Fg3HaxudXkz/mhczD+ZR9J8iMiItfGJp+IyAZkMk90PuhC49Wbxm1lp78x/jnze38DZWS4VOkREZGLG/PtOnq9Hps3b0ZQUBD8/PyQlpaG7u5uMXJz6NhERKP5cUI0Xnpp3LD7Ul6NhYeHh50zIiIidzHmJl+tVqOsrAx1dXXo7OwEAKxevXrMiTl6bCKi0fi/8jKWKBVDtkfOm4uZ3/sbCTIiIiJ3YXGT/8033+DVV1+Fv78/AgICsHLlSgBAYWEhsrOzMXv2bMjlcuzZswcVFRXo6OiwWdIDpIxNRGSJuOgIBPi/Yvx53DgvJCcskjAjIiJyBxY1+cePH8ebb76JdevW4fHjx7h37x4yMjKg1Wpx9+5dREVFGcfOmTMH/v7+uHz5sqBE1Go15s+fb/F4MWMTEdnKOC8vvL5Eafw5cfECyAc1/URERLYwapPf19eHX/ziFygsLERaWhp8fHzg5+eHpUuXoqenBwAgl8tNjgkICIBOpwMAHDlyBDExMYiJiUF1dfWIcXJycnDlyhWLE7ckNhGRI4gI+T5mTZ8Cud94JCxaIHU6RETkBjwMg5/vNoyvv/4ab7/9Nh4/fjzkS2JarRYTJkxAS0sLFIr/u+9ULpfj8OHDSEhIgEqlwqVLl9Db24ukpCQ0NzfD03Psj+cfLfYbb7wx5hgAkJNXKMo8RERERERClPz6IwDAP/3ig2H33b19c8h2I8MofvOb3xj+9m//dsT9M2fONHz22WfGn2/dumUAYLhz546hoqLCsGHDBuO+v//7vzfcunVrtJAWMxebiIgcS7b61yZ/uiOeA54Dg4HnwGDgObBUYmKiITExccR95ox6Jf/atWuIjIxEaWkpli1bBp1Oh7q6OixduhQAsGvXLvz7v/87KioqEBgYiLVr16KnpwcVFRUoKSlBW1sbduzYAQD42c9+ho0bNyI6Otqq32b+mrnYYuGVfCIiIiKSgk2v5BsMBkNxcbHhBz/4gWH8+PGGKVOmGLZs2WLc9+zZM8MHH3xgCAwMNLzyyiuGN99809DV1WUwGAxDruS//vrrI17J37VrlyE8PNySdCyKTUREjoVX7ngODAaeA4OB58Bg4Dmw1Fiu5Fv0xtu3334bb7/99rD7ZDIZ9u3bh3379g3Zt3jxYvzyl7/E06dP0dfXh/v372PWrFnDzrNlyxZs2bLFknQsik1ERERE5K4savKtFRAQgI0bN0KlUgEAPvroI1G+dEtERERERCOzaZMPAG+99RbeeustW4chIiIiIqL/Hy+rExERERG5GDb5REREREQuhk0+EREREZGLYZNPRERERORi2OQTEREREbkYNvlERERERC6GTT4RERERkYthk09ERERE5GLY5BMRERERuRg2+URERERELoZNPhERERGRi2GTT0RERETkYtjkExERERG5GDb5REREREQuhk0+EREREZGLYZNPRERERORi2OQTEREREbkYNvlERERERC6GTT4RERERkYvxkjoBIiJyTf3fPcP+omPo6f1/jdtyP/7c+Of4l32x8Z/T4O39klQpEhG5LF7JJyIim3hpnBeWKCPR/90z9H/3DABM/lQpF7DBJyKykTE3+Xq9Hps3b0ZQUBD8/PyQlpaG7u5uMXJz6NhERDS6hRE/wPcmBw7ZPiVoIv6f+aESZERE5B7G3OSr1WqUlZWhrq4OnZ2dAIDVq1ePOTFHj01ERKPz9PBAyquxQ7anvBoDmSf/MZmIyFYs/n/Yb775Bq+++ir8/f0REBCAlStXAgAKCwuRnZ2N2bNnQy6XY8+ePaioqEBHR4fNkh4gZWwiIrLM7BlTERHyfePP4X8bjLnB0yTMiIjI9VnU5B8/fhxvvvkm1q1bh8ePH+PevXvIyMiAVqvF3bt3ERUVZRw7Z84c+Pv74/Lly4ISUavVmD9/vsXjxYxNRES29feqxfCSySDz9MTrKqXU6RARuTwPg8FgMDegr68PwcHB+P/Yu//YuOo73/+vwSkxkPlhJibcEjnGzpe7hGBsXBMSUuzEMQNNaAiu1QZhohrL1kaUIhJr5ga6rbbEGpuw2qx2V8tsbhuobe2XbajcSMX0C1s7kJKBytRpwmpXYRL/qGDN5OvxuKbXgeHcP1hPa2J7JniGmXzyfEiWlfM5M5/3jCrx9Onx+MCBA7rvvvtmrA0PD6ugoEChUEjXX/+nqzQrVqzQ3r179eCDD2rTpk0aGBjQd7/7XT355JMpGzyZvVPB1xZIyfMAAAAAF6Lr2WckSQ8075p1bSj0H3M+NuFHaPb19clms2nr1q3nrdntdknS+Pj4jOORSEQOh0OSdPDgQb3yyivxe+ZTJZm9U8HvbUrZcwHApWxq6pwsSbmX8Cfq+NoC8nub4t8vRbwHvAcS70Gyjr3UJWn2Hp1em0vCyA+Hw8rLy5PNZjtvzeVyqaCgQP39/SotLZUkhUIhRaPR+K03y5cvT/wKPodk9k4FruQDAFJp+r8rl/J/X3gPeA8k3oNkhIbekzT7ezS9Nicrgd/97nfWokWLrJ///OdWLBazxsbGrJ6envj6U089Zd1www1WKBSyxsfHrW984xuWx+OZ8Rw//vGPrR/+8IeJtrpgyewNAEC28PqfnfH9UsR7wHtgWbwHyaqsrLQqKyvnXJtPwl+8Xb16tQ4cOKDdu3fL4XDoxhtv1JEjR+LrPp9P9957ryoqKnTdddcpFoupo6PjAn9OkVpbW3XTTTdd0GNStTcAAABgkoS360jSjh07tGPHjlnXcnJytG/fPu3bt29Bg+zZs0d79uy5oMekam8AAADAJElF/kI0NDQoGAxqampKwWBQhw8fTveWAAAAwCUt7ZH/ox/9KN1bAAAAAPgz/E1xAAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYJhFmR4AAABTffjH/6M3+t+ZcezVo/3x75ddZtNXbyvRopycTIwHwGBEPgAAaXLlFbka/P1/6T9PD8eP/X+v/yb+/bZb/oLAB5AWC75dJxaLqaWlRfn5+bLb7aqtrVU4HE7FbFm9NwAAydi88XZdZrOdd3zx5V/SXV+tyMBEAC4FC458v9+v7u5uBYNBjYyMSJLq6+sXPFi27w0AQDKWLc3TmrJV5x2vXnerllx1RQYmAnApSDryjx49qurqajkcDrlcLtXV1UmSAoGAvF6vioqK5HQ61d7erp6eHg0ODqZt6GmZ3BsAgGRtWl+uK3IXx//tdjm0rnx1BicCYLqkIv/QoUPatm2bdu7cqdHRUQ0PD6uxsVGRSERDQ0MqLy+Pn1tcXCyHw6GBgYELGsTv96ukpCTp81O5NwAA6XTVFbnadMef/nv1tQ23a9Ei7sUHkD4JI39yclLNzc0KBAKqra1Vbm6u7Ha7PB6PJiYmJElOp3PGY1wul6LRqN59913deeed+upXv6r169frN7/5zZz7+Hw+HT9+POnBE+0NAEA2ub1slfKvdqp4xZe16v9ZkelxABjOZlmWNd8Jv/jFL7Rjxw6Njo7K9plfHIpEIsrLy9Pbb7+t0tLS+HGn06mf/OQnuuOOOyRJbrdb77zzjpqbm/Xaa6+lZPBEe3/9619PyT6+tkBKngcAAAC4EF3PPiNJeqB516xrQ6H/mPOxCT9CMxwOKy8v77zAlz69al5QUKD+/v54aIdCIUWjUZWUlMjtdsfPXbx4sXJS+DFhifZOFb+3KWXPBQDApc7XFpDf2xT/finiPeA9SNaxl7okzd6j02tzSXgl/8SJEyorK9OLL76ozZs3KxqNKhgMyuPxSJL27t2r559/Xj09PXK73Xr44Yc1MTGhnp6e+HPEYjF9/etf13e+8x3dfffdF/wC55LM3gvFlXwAAABkwkKu5MtKwsGDB60bbrjBuuqqq6xrr73W2rNnT3zt448/tnbt2mW53W5ryZIl1rZt26wPPvggvv7JJ59YDz30kPWP//iP8+6xd+9ea9WqVcmMk/TeAAAgu3j9z874finiPeA9SFZlZaVVWVk559p8kvqLtzt27NCOHTtmXcvJydG+ffu0b9++Wde/853vaOXKlfrLv/zLeffYs2eP9uzZk8w4Se8NAAAAXIoW/Mew5tPb26tAIKBXX31VVVVVuv/++9O5HQAAAAAl8Yu3C1FVVaVz586lcwsAAAAAn5HWK/kAAAAAvnhEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYJhFmR4AAACY65NPPtEnljXj2Mex2IzvOZddJpvN9oXPBpiMyAcAAGnzh8k/at8//78699HH8WNP7vvf8e/L/0e+dtbfJxIfSC1u1wEAAGnjsF+lqttL51y/d+NaXcZVfCDlFhz5sVhMLS0tys/Pl91uV21trcLhcCpmy+q9AQBAcr5aUSKXY8l5x2+5sVgrll+bgYkA8y048v1+v7q7uxUMBjUyMiJJqq+vX/Bg2b43AABIzpe+tEhfq1oz49iiRTm65zPHAKRO0pF/9OhRVVdXy+FwyOVyqa6uTpIUCATk9XpVVFQkp9Op9vZ29fT0aHBwMG1DT8vk3gAAIHk3/0WRVly3LP7vO2+7Zdar+wBSI6nIP3TokLZt26adO3dqdHRUw8PDamxsVCQS0dDQkMrLy+PnFhcXy+FwaGBg4IIG8fv9KikpSfr8VO4NAADSy2az6d7qdZIkx5IrVbXmlgxPBJjNZlmf+Vyrz5icnNSKFSt04MAB3XfffTPWhoeHVVBQoFAopOuvvz5+fMWKFdq7d69qamq0bds2XX755frjH/+o1tZWVVdXp2TwRHs/+OCDKdnH1xZIyfMAAAAAF6Lr2WckSQ8075p1bSj0H3M+NuFHaPb19clms2nr1q3nrdntdknS+Pj4jOORSEQOh0NLly7Va6+9ppycHIVCIX3zm9/UW2+9lWjLpCTaO1X83qaUPRcAAJe6yT/+H12Ru/iS/kQdX1tAfm9T/PuliPcgOcde6pI0e49Or80lYeSHw2Hl5eXN+kcqXC6XCgoK1N/fr9LSTz8eKxQKKRqNqqSkRDk5OfFzI5HIBd2Ok0iivVOFK/kAACDVpvviUu4M3oPEQkPvSZr9PZpem5OVwO9+9ztr0aJF1s9//nMrFotZY2NjVk9PT3z9qaeesm644QYrFApZ4+Pj1je+8Q3L4/HE10OhkHXHHXdYS5cutQ4fPpxouwuSaG8AAIBs4/U/O+P7pYj3IDmVlZVWZWXlnGvzSfiLt6tXr9aBAwe0e/duORwO3XjjjTpy5Eh83efz6d5771VFRYWuu+46xWIxdXR0xNevv/56vf766woGg3rkkUfm3Ke1tVU33XRTonFmSLQ3AAAAcClKeLuOJO3YsUM7duyYdS0nJ0f79u3Tvn37zlubmprS4sWLJUkOh0NLlsz9UVl79uzRnj17khknqb0BAACAS1VSkf95vfXWW9qzZ49ycnL00Ucfaf/+/encDgAAAIDSHPnr16+fcWsPAAAAgPRL+i/eAgAAALg4EPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhFmV6AAAAAJN98P9HdOztd2YcO/zqr+Pfr7wiVxvXlslms2ViPBiKyAcAAEgjt8uh0NB7em/0bPzY0d+ciH/fWnMHgY+UW/DtOrFYTC0tLcrPz5fdbldtba3C4XAqZsvqvQEAAJJx2WWX6d7qtbOuXePO022lN37BE+FSsODI9/v96u7uVjAY1MjIiCSpvr5+wYNl+94AAADJKir4slbfcP15x7dUr1XOZfyKJFIv6f9VHT16VNXV1XI4HHK5XKqrq5MkBQIBeb1eFRUVyel0qr29XT09PRocHEzb0NMyuTcAAMCFuGfDGuXk/Cm9/qK4QDdcvzyDE8FkSUX+oUOHtG3bNu3cuVOjo6MaHh5WY2OjIpGIhoaGVF5eHj+3uLhYDodDAwMDFzSI3+9XSUlJ0uencm8AAIB0c7scWv+VmyVJl11m0+YNt2d4IpgsYeRPTk6qublZgUBAtbW1ys3Nld1ul8fj0cTEhCTJ6XTOeIzL5VI0Go3/++zZs8rLy1NHR8ec+/h8Ph0/fjzpwZPdGwAAIFtsWFumJVdeobW33qR8tyvT48BgCT9dp6+vTzabTVu3bj1vzW63S5LGx8dnHI9EInI4HPF/P/XUU1q/fv1CZ/1cey+Ury2QsucCAACQPv1UnelP2LlUTTcWrTW30NB7kmZ/j6bX5pIw8sPhsPLy8mb9aCeXy6WCggL19/ertLT00w1DIUWj0fitN6dOndLZs2dn3FaTCsnsnQp+b1PKngsAAACfRqvf2xT/jtkde6lL0uw9Or02F5tlWdZ8J5w4cUJlZWV68cUXtXnzZkWjUQWDQXk8HknS3r179fzzz6unp0dut1sPP/ywJiYm1NPTI0l64IEH9MMf/lA/+clPtHLlSj344IOf60XOJtHeqcBPlwAAAMiErmefkSQ90Lxr1rWh0H/M+diEV/JXr16tAwcOaPfu3dq+fbvsdrsaGhrike/z+TQ2NqaKigpNTU2ppqYmfu/9r3/9a7ndbhUXFyd8Ea2trers7NTJkycTnjttvr1ThZ8uAQAAUosr+clJ65X8hfi7v/s7HTp0SFdccYVOnTqlq666Sv/0T/+ktWtn/4MQAAAAMB+Rn5yqqipJUm9v76xrsx2flvBK/kI8+uijevTRRyVJP/jBD7Ry5UoCHwAAAEiztEb+n/vBD37wRW0FAAAAXNL4O8oAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMIsyPQAAAADMNnXuI50799GMYxN/+PBP322S/aorMzGasYh8AAAApFVkfEL7f3xIn1hW/Njef+iIf//Kzf9T3/haZabGMxK36wAAACCtluVfrTVlN866dvnlX5LnzooveCLzLTjyY7GYWlpalJ+fL7vdrtraWoXD4VTMltV7AwAAIHmb7viKchdfft7xjWvLZF/CrTqptuDI9/v96u7uVjAY1MjIiCSpvr5+wYNl+94AAABI3lVX5mrTHeUzjuU57brjK6szNJHZko78o0ePqrq6Wg6HQy6XS3V1dZKkQCAgr9eroqIiOZ1Otbe3q6enR4ODg2kbelom9wYAAMCFWXvrTcq/2hn/99eq1uhLi/gV0XRIKvIPHTqkbdu2aefOnRodHdXw8LAaGxsViUQ0NDSk8vI//VRWXFwsh8OhgYGBCxrE7/erpKQk6fNTuTcAAADSLyfnMm3euFaSVLj8Wq3+n9dneCJzJfzRaXJyUs3NzTpw4IDuu+8+SVJubq48Ho+Gh4clSU6nc8ZjXC6XotGoJOmKK67QmjVrJEkPPPCAmpqaZt3H5/PJ5/MlPfjExETCvVPB1xZI2XMBAADgU2dG3tf/av/nTI+R1UJD70mavUen1+aSMPL7+vpks9m0devW89bsdrskaXx8fMbxSCQih8MhSbruuuvU29ubaJsLlszeqeD3zv5DCQAAAD6fqalzWjzLL+FipmMvdUmavUen1+aSMPLD4bDy8vJks9nOW3O5XCooKFB/f79KS0slSaFQSNFoNH7rzfvvv6/Kykrl5eXpb/7mb1RUVJT4FSUhmb1TgSv5AAAAyISFXMm3Wdaf/VWCWZw4cUJlZWV68cUXtXnzZkWjUQWDQXk8HknS3r179fzzz6unp0dut1sPP/ywJiYm1NPTI+nTHxKWLl2qV199VT/84Q9TelU/0d4AAADAxaqqqkqSZu3nqqqqebs64S/erl69WgcOHNDu3bvlcDh044036siRI/F1n8+ne++9VxUVFbruuusUi8XU0dERX1+6dKkkqbq6Ov4xl7NpbW3VTTfdlGicGRLtDQAAAFyKEl7JX4g//OEPuuKKK5STk6MTJ06ooaFBb775Zrq2AwAAAIyxkCv5af1g0nfeeUfNzc3xX5J99tln07kdAAAAAKU58m+77Ta9/fbb6dwCAAAAwGck/RdvAQAAAFwciHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYhsgHAAAADEPkAwAAQ5YG4gAAIABJREFUAIYh8gEAAADDEPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMMyCIz8Wi6mlpUX5+fmy2+2qra1VOBxOxWxZvTcAAACQrRYc+X6/X93d3QoGgxoZGZEk1dfXL3iwbN8bAAAAyFZJR/7Ro0dVXV0th8Mhl8uluro6SVIgEJDX61VRUZGcTqfa29vV09OjwcHBtA09LZN7AwAAANkqqcg/dOiQtm3bpp07d2p0dFTDw8NqbGxUJBLR0NCQysvL4+cWFxfL4XBoYGDgggbx+/0qKSlJ+vxU7g0AAACYJGHkT05Oqrm5WYFAQLW1tcrNzZXdbpfH49HExIQkyel0zniMy+VSNBqVJA0MDOjuu+/Wxo0b9e1vf3vOfXw+n44fP5704MnsDQAAAFyKFiU6oa+vTzabTVu3bj1vzW63S5LGx8dnHI9EInI4HDp37px2796tn/70p+fF+EIl2jtVfG2BlD0XAAAAkKzQ0HuSZu/R6bW5JIz8cDisvLw82Wy289ZcLpcKCgrU39+v0tLSTzcMhRSNRlVSUqJjx47JbrfroYce0vj4uHbv3q0tW7Yk9aISSbR3qvi9TSl7LgAAACBZx17qkjR7j06vzSVh5N966606ffq0Dh8+rM2bNysajSoYDMrj8UiSmpqa1NbWpg0bNsjtdsvr9crj8aiwsFBvvPGG+vv79dvf/laWZemOO+7QnXfembIr7fPtnSpcyQcAAEAmpPVK/urVq3XgwAHt3r1b27dvl91uV0NDQzzyfT6fxsbGVFFRoampKdXU1Kijo0OSdPXVV+v222+Xy+WSJJWUlOjUqVO69dZbz9untbVVnZ2dOnnyZKKR4ubbO1W4kg8AAIBMWMiVfJtlWVZaptKn98tXV1frjTfekGVZqqio0L/927/J7Xana0sAAADACFVVVZKk3t7eWddmOz4t4ZX8hXA6ndq9e7c2bNigc+fO6dFHHyXwAQAAgDRLa+RL0re+9S1961vfSvc2AAAAAP5b0n/xFgAAAMDFgcgHAAAADEPkAwAAAIYh8gEAAADDEPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMsOPJjsZhaWlqUn58vu92u2tpahcPhVMyW1XsDAAAA2WrBke/3+9Xd3a1gMKiRkRFJUn19/YIHy/a9AQAAgGyVdOQfPXpU1dXVcjgccrlcqqurkyQFAgF5vV4VFRXJ6XSqvb1dPT09GhwcTNvQ0zK5NwAAAJCtkor8Q4cOadu2bdq5c6dGR0c1PDysxsZGRSIRDQ0Nqby8PH5ucXGxHA6HBgYGLmgQv9+vkpKSpM9P5d4AAACASRJG/uTkpJqbmxUIBFRbW6vc3FzZ7XZ5PB5NTExIkpxO54zHuFwuRaNRvfnmm6qqqlJVVZVuv/12ud3uOffx+Xw6fvx40oMn2hsAAAC4VC1KdEJfX59sNpu2bt163prdbpckjY+PzzgeiUTkcDh02223qbe3V5LU1dWl119/PQUjJ7d3qvjaAil7LgAAACBZoaH3JM3eo9Nrc0kY+eFwWHl5ebLZbOetuVwuFRQUqL+/X6WlpZ9uGAopGo2ed+vN888/r+9///uJtkvahey9EH5vU8qeCwAAAEjWsZe6JM3eo9Nrc0kY+bfeeqtOnz6tw4cPa/PmzYpGowoGg/J4PJKkpqYmtbW1acOGDXK73fJ6vfJ4PCosLIw/x/vvv68zZ85o7dq1F/K6Ekpm74XiSj4AAAAyIa1X8levXq0DBw5o9+7d2r59u+x2uxoaGuKR7/P5NDY2poqKCk1NTammpkYdHR0znqOzs1Pbt2+fd5/W1lZ1dnbq5MmTiUaKS2bvheJKPgAAADJhIVfybZZlWWmZ6s+UlZXppz/9qYqLi9O9FQAAAGCEqqoqSYr/jutn12Y7Pm3Bfwwrkd/97ne68sorCXwAAADgC5L2yL/55pt19OjRdG8DAAAA4L+lPfIBAAAAfLGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYhsgHAAAADEPkAwAAAIYh8gEAAADDEPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGGbBkR+LxdTS0qL8/HzZ7XbV1tYqHA6nYras3hsAAADIVguOfL/fr+7ubgWDQY2MjEiS6uvrFzxYtu8NAAAAZKukI//o0aOqrq6Ww+GQy+VSXV2dJCkQCMjr9aqoqEhOp1Pt7e3q6enR4OBg2oaelsm9AQAAgGyVVOQfOnRI27Zt086dOzU6Oqrh4WE1NjYqEoloaGhI5eXl8XOLi4vlcDg0MDBwQYP4/X6VlJQkfX4q9wYAAABMkjDyJycn1dzcrEAgoNraWuXm5sput8vj8WhiYkKS5HQ6ZzzG5XIpGo3Ksiw98sgjWrt2rSoqKtTR0THnPj6fT8ePH0968ER7AwAAAJeqRYlO6Ovrk81m09atW89bs9vtkqTx8fEZxyORiBwOh06ePKmTJ0/qjTfe0OTkpG6++WY9+OCDKRk80d6p4msLpOy5AAAAgGSFht6TNHuPTq/NJWHkh8Nh5eXlyWaznbfmcrlUUFCg/v5+lZaWfrphKKRoNKqSkhI5HA5dfvnl+uijjzQxMaGrr746qReUjER7p4rf25Sy5wIAAACSdeylLkmz9+j02lwSRv6tt96q06dP6/Dhw9q8ebOi0aiCwaA8Ho8kqampSW1tbdqwYYPcbre8Xq88Ho8KCwtlWZaKi4t1ww03aHJyUs8+++zneX1zmm/vVOFKPgAAADIhrVfyV69erQMHDmj37t3avn277Ha7Ghoa4pHv8/k0NjamiooKTU1NqaamJn7v/S9/+Uv9/ve/16lTpzQ+Pq7169fra1/7mhYvXnzePq2trers7NTJkycTv+L/Nt/eqcKVfAAAAGTCQq7k2yzLstIylaSXX35Z//Iv/6If//jH+uijj7Rq1SoNDAzoyiuvTNeWAAAAgBGqqqokSb29vbOuzXZ82oL/GNZ8Nm3aJMuydMcdd2jdunX6zne+Q+ADAAAAaZbwdp2FyMnJ0cGDB9O5BQAAAIDPSOuVfAAAAABfPCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYhsgHAAAADEPkAwAAAIYh8gEAAADDEPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAyz4MiPxWJqaWlRfn6+7Ha7amtrFQ6HUzFbVu8NAAAAZKsFR77f71d3d7eCwaBGRkYkSfX19QseLNv3BgAAALJV0pF/9OhRVVdXy+FwyOVyqa6uTpIUCATk9XpVVFQkp9Op9vZ29fT0aHBwMG1DT8vk3gAAAEC2SiryDx06pG3btmnnzp0aHR3V8PCwGhsbFYlENDQ0pPLy8vi5xcXFcjgcGhgYuKBB/H6/SkpKkj4/lXsDAAAAJkkY+ZOTk2publYgEFBtba1yc3Nlt9vl8Xg0MTEhSXI6nTMe43K5FI1GJUnf//73tW7dOlVVVenEiRNz7uPz+XT8+PGkB09mbwAAAOBStCjRCX19fbLZbNq6det5a3a7XZI0Pj4+43gkEpHD4dBvf/tbvfnmm/r1r3+tM2fO6OGHH9arr76aksET7Z0qvrZAyp4LAAAASFZo6D1Js/fo9NpcEkZ+OBxWXl6ebDbbeWsul0sFBQXq7+9XaWnppxuGQopGoyopKdGbb74Zv52msLBQ//7v/66PP/5YixYl3DahRHunit/blLLnAgAAAJJ17KUuSbP36PTaXBLW9q233qrTp0/r8OHD2rx5s6LRqILBoDwejySpqalJbW1t2rBhg9xut7xerzwejwoLCzU5Oan9+/fr3LlzOnHihN5//31FIhEtXbr087zO88y3d6pwJR8AAACZsJAr+TbLsqxEGzz33HNqbW3V73//e9ntdjU0NGjv3r2SPv2seq/Xq4MHD2pqako1NTUKBALxkP/7v/97vfDCC7rhhhv01ltv6be//e2s/69Aa2urOjs7dfLkycSv+L8l2hsAAAC4WFVVVUmSent7Z12b7fi0pCI/FU6cOKGnn35azz333BexHQAAAHBRW0jkL/zm+ATuuusuffzxx1q6dKn+4R/+Id3bAQAAAJe8tEf+L3/5y3RvAQAAAODPJP0XbwEAAABcHIh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYJunIj8ViamlpUX5+vux2u2praxUOh9M520U5EwAAAJBpSUe+3+9Xd3e3gsGgRkZGJEn19fVpG+xinQkAAADItHkj3+Vyqa6uTpIUCATk9XpVVFQkp9Op9vZ29fT0aHBw8AsZdDbZOBMAAACQafNG/vDwsBobGxWJRDQ0NKTy8vL4WnFxsRwOhwYGBlIyiN/vV0lJSdLnfxEzAQAAABejeSPfbrfL4/FoYmJCkuR0Omesu1wuRaNRSdKmTZuUn5+vp556asY5HR0dWrt2rdauXatf/epXc+7l8/l0/PjxpAdPZiYAAADgUrQomZPsdrskaXx8fMbxSCQih8MhSTp48KBeeeWV+L3x0+v79u3TsWPH9Ic//EGbNm1Sf3+/Lrts4R/qk8xMqeBrC6TsuQAAAIBkhYbekzR7j06vzSWpyHe5XCooKFB/f79KS0s/feJQSNFoNH6LzfLly897XDAYVGVlpXJzc5Wbm6svf/nLOnPmjIqKipLZdsEzpYLf25Sy5wIAAACSdeylLkmz9+j02lzmjfyXX35ZHo9HktTU1KS2tjZt2LBBbrdbXq9XHo9HhYWFcz7+7NmzysvLi/87Ly9PZ8+eTUnkf96ZLhRX8gEAAJAJabuSf+TIkXjk+3w+jY2NqaKiQlNTU6qpqVFHR8e8T+52uzU2Nhb/dyQSkdvtnvXc1tZWdXZ26uTJk/M+55/7PDNdKK7kAwAAIBMWciXfZlmWlapBDh48qJGRET355JOSPo36jRs36o033tDk5KQ2btyYsnvyAQAAAJNVVVVJknp7e2ddm+34tKTuyU9GQ0ODgsGgpqamFAwGdfjwYblcLj322GPxAZ955hkCHwAAAEizlF7JBwAAAJAaC7mSz2V1AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYJunIj8ViamlpUX5+vux2u2praxUOh9M520U5EwAAAJBpSUe+3+9Xd3e3gsGgRkZGJEn19fVpG+xinQkAAADItHkj3+Vyqa6uTpIUCATk9XpVVFQkp9Op9vZ29fT0aHBw8AsZdDbZOBMAAACQafNG/vDwsBobGxWJRDQ0NKTy8vL4WnFxsRwOhwYGBlIyiN/vV0lJSdLnfxEzAQAAABejeSPfbrfL4/FoYmJCkuR0Omesu1wuRaNRSdKmTZuUn5+vp556asY5cx3/LJ/Pp+PHjyc9eDIzAQAAAJeiRcmcZLfbJUnj4+MzjkciETkcDknSwYMH9corr8TvjZ821/GFSmamVPC1BVL2XAAAAECyQkPvSZq9R6fX5pJU5LtcLhUUFKi/v1+lpaWfPnEopGg0Gr/FZvny5bM+dq7jC5XMTKng9zal7LkAAACAZB17qUvS7D06vTaXeSP/5ZdflsfjkSQ1NTWpra1NGzZskNvtltfrlcfjUWFh4ecce+G+iJm4kg8AAIBMSNuV/CNHjsQj3+fzaWxsTBUVFZqamlJNTY06Ojo+78znaW1tVWdnp06ePJn0Y9I9k8SVfAAAAGTGQq7k2yzLslI1yMGDBzUyMqInn3wyqeMAAAAAZldVVSVJ6u3tnXVttuPTkronPxkNDQ0KBoOamppSMBjU4cOH5z0OAAAAID1SFvk/+tGPLug4AAAAgPSY93PyAQAAAFx8iHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYhsgHAAAADEPkAwAAAIYh8gEAAADDEPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABgm6ciPxWJqaWlRfn6+7Ha7amtrFQ6H0znbRTkTAAAAkGlJR77f71d3d7eCwaBGRkYkSfX19Wkb7GKdCQAAAMi0eSPf5XKprq5OkhQIBOT1elVUVCSn06n29nb19PRocHDwCxl0Ntk4EwAAAJBp80b+8PCwGhsbFYlENDQ0pPLy8vhacXGxHA6HBgYGUjKI3+9XSUlJ0ud/ETMBAAAAF6NF8y3a7XZ5PB4NDw9LkpxO54x1l8ulaDQqSdq0aZMGBgb03e9+V08++aQk6d1339W3v/1tWZYly7L0t3/7t/rKV74y614+n08+ny/pwScmJhLOlAq+tkDKngsAAABIVmjoPUmz9+j02lzmjfxpdrtdkjQ+Pj7jeCQSkcPhkCQdPHhQr7zySvzeeOnT4P7Zz34mt9utd955R83NzXrttdeS2TIlM6WC39uUsucCAAAAknXspS5Js/fo9NpckvrFW5fLpYKCAvX398ePhUIhRaPR+C02y5cvP+9xbrdbbrdbkrR48WLl5OQks11SkpkJAAAAuFiVlpaqtLR0zrX5zHsl/+WXX5bH45EkNTU1qa2tTRs2bJDb7ZbX65XH41FhYWHCAWOxmB599NELuh0nGQuZKVncrgMAAIBMyP0fqyTN3qPTa3OZN/KPHDkSj3yfz6exsTFVVFRoampKNTU16ujoSDicZVlqaGjQli1bdPfdd895Xmtrqzo7O3Xy5MmEzznt8850IbhdBwAAABcbm2VZVqqe7ODBgxoZGYn/4q0kPfLII1q2bJm+973vpWobAAAAAPNIWeQ3NDQoGAxqampKN954ow4fPqze3l7dddddWrdunSTp6quv1osvvpiK7QAAAADMIaVX8gEAAABkXlKfrgMAAADg4kHkAwAAAIYh8gEAAADDEPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYhsgHAAAADEPkAwAAAIYh8gEAAADDEPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYhsgHAAAADEPkAwAAAIYh8gEAAADDEPkAAACAYYh8AAAAwDAXTeTHYjG1tLQoPz9fdrtdtbW1CofDmR4LAAAAyDoXTeT7/X51d3crGAxqZGREklRfX5/hqQAAAIDsY7Msy8r0ENNeeOEF7dmzR++//77WrVunm2++WUNDQ/rXf/1XrVixQn/1V3+lhx9+WJL07rvvauXKlTpz5oxWrFiR4ckBAACA7JE1V/Kfe+457dq1S52dnZqYmNCWLVu0f/9+lZWVKRKJaGhoSOXl5fHzi4uL5XA4NDAwkMGpAQAAgOyTFZH/4Ycf6vHHH1cgENCaNWtks9nU2NioWCymsrIyTUxMSJKcTueMx7lcLkWjUUlSR0eH1q5dq7Vr1+pXv/pVSuZ67LHH9Nhjj13wGgAAAJBRVhb4xS9+YblcrhnHzpw5Y0my3nvvPWtsbMySZL399tszznE4HFZ3d7c1NjZm3XLLLdYf//hH64MPPrBuueUWKxaLLXiuyspKSxJffPHFF1988cUXX3xl3dd8FikLjI6O6pprrplxrKurS8uWLdO1114rSSooKFB/f79KS0slSaFQSNFoVCUlJQoGg6qsrFRubq5yc3P15S9/WWfOnFFRUdGCZ6usrFRvb+95x6uqqiRp1jUAAAAgk7Lidp1Vq1bp1KlT6uvr07lz59TV1SW/36+ysrL4OU1NTWpra9Pp06cVjUbl9Xrl8XhUWFios2fPKi8vL35uXl6ezp49m4mXAgAAAGRcVlzJr6io0BNPPKH7779fOTk52r59u9asWTMj8n0+n8bGxlRRUaGpqSnV1NSoo6NDkuR2uzU2NhY/NxKJyO12f+GvAwAAAMgGWfURmn+usLBQTz/9tOrq6hKeG4lEtHHjRr3xxhuanJzUxo0b1d/fr8suW9j/UTHfLTncrgMAAIBslRVX8j8rGo1qcHBwxpX8+bhcLj322GPx8H7mmWcWHPgAAADAxSorI//EiROy2+0qLi5O+jEPPfSQHnrooTROBQAAAFwcsjLy161bF//8ewAAAAAXhntaAAAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYhsgHAAAADEPkAwAAAIYh8gEAAADDEPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgmIsm8mOxmFpaWpSfny+73a7a2lqFw+FMjwUAAABknYsm8v1+v7q7uxUMBjUyMiJJqq+vz/BUAAAAQPbJqsh/4YUXtHLlSi1ZskR33XWXdu3apbq6OklSIBCQ1+tVUVGRnE6n2tvb1dPTo8HBwQxPDQAAAGSXrIn85557Trt27VJnZ6cmJia0ZcsW7d+/X2VlZYpEIhoaGlJ5eXn8/OLiYjkcDg0MDGRwagAAACD7ZEXkf/jhh3r88ccVCAS0Zs0a2Ww2NTY2KhaLqaysTBMTE5Ikp9M543Eul0vRaFSStGnTJuXn5+upp576wucHAAAAssmiTA8gSX19ffrkk090zz33xI998MEHkqSysjLl5uZKksbHx2c8LhKJyOFwSJIOHjyoV155JX6/fipns9lsc67PtwYAAACki2VZc65lReSPjo7qmmuumXGsq6tLy5Yt07XXXitJKigoUH9/v0pLSyVJoVBI0WhUJSUlkqTly5enZbbKykr19vaed7yqqkqSZl0DAAAAMikrbtdZtWqVTp06pb6+Pp07d05dXV3y+/0qKyuLn9PU1KS2tjadPn1a0WhUXq9XHo9HhYWFmRscAAAAyEJZcSW/oqJCTzzxhO6//37l5ORo+/btWrNmzYzI9/l8GhsbU0VFhaamplRTU6OOjo4MTg0AAABkp6y4ki9Jf/3Xf62zZ89qdHRU+/fv13/+53/OiPycnBzt27dP4XBYExMTevHFF7V06dIMTgwAAABkp6y4kv9Z0WhUg4ODMyI/kYaGBgWDQU1NTSkYDOrw4cNpnBAAAADIXlkZ+SdOnJDdbldxcXHSj/nRj36UxokAAACAi0dWRv66devin38PAAAA4MJkzT35AAAAAFKDyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYhsgHAAAADEPkAwAAAIYh8gEAAADDEPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGuWgiPxaLqaWlRfn5+bLb7aqtrVU4HM70WAAAAEDWuWgi3+/3q7u7W8FgUCMjI5Kk+vr6DE8FAAAAZJ+sivwXXnhBK1eu1JIlS3TXXXdp165dqqurkyQFAgF5vV4VFRXJ6XSqvb1dPT09GhwczPDUAAAAQHbJmsh/7rnntGvXLnV2dmpiYkJbtmzR/v37VVZWpkgkoqGhIZWXl8fPLy4ulsPh0MDAQAanBgAAALJPVkT+hx9+qMcff1yBQEBr1qyRzWZTY2OjYrGYysrKNDExIUlyOp0zHudyuRSNRvXuu+/qzjvv1Fe/+lWtX79ev/nNbzLxMgAAAICssCjTA0hSX1+fPvnkE91zzz3xYx988IEkqaysTLm5uZKk8fHxGY+LRCJyOBxyuVz62c9+JrfbrXfeeUfNzc167bXXUjabzWabc32+NQAAACBdLMuacy0rIn90dFTXXHPNjGNdXV1atmyZrr32WklSQUGB+vv7VVpaKkkKhUKKRqMqKSmR2+2OP27x4sXKyclJ2WyVlZXq7e0973hVVZUkzboGAAAAZFJW3K6zatUqnTp1Sn19fTp37py6urrk9/tVVlYWP6epqUltbW06ffq0otGovF6vPB6PCgsL4+fEYjE9+uij8vl8GXgVAAAAQHbIiiv5FRUVeuKJJ3T//fcrJydH27dv15o1a2ZEvs/n09jYmCoqKjQ1NaWamhp1dHTE1y3LUkNDg7Zs2aK77747Ey8DAAAAyAoO0IMHAAAgAElEQVQ2a76beTKosLBQTz/9dPwjNBN55JFHtGzZMn3ve99L2Qzz3ZLD7ToAAADIVllxu85nRaNRDQ4OzriSP5/e3l4FAgG9+uqrqqqq0v3335/mCQEAAIDslRW363zWiRMnZLfbVVxcnNT5VVVVOnfuXJqnAgAAAC4OWRn569atUzQazfQYAAAAwEUpK2/XAQAAAPD5EfkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAABgGCIfAAAAMAyRDwAAABiGyAcAAAAMQ+QDAAAAhiHyAQAAAMMQ+QAAAIBhiHwAAADAMEQ+AAAAYJiLJvJjsZhaWlqUn58vu92u2tpahcPhTI8FAAAAZJ2LJvL9fr+6u7sVDAY1MjIiSaqvr8/wVAAAAED2yarIf+GFF7Ry5UotWbJEd911l3bt2qW6ujpJUiAQkNfrVVFRkZxOp9rb29XT06PBwcEMTw0AAABkl6yJ/Oeee067du1SZ2enJiYmtGXLFu3fv19lZWWKRCIaGhpSeXl5/Pzi4mI5HA4NDAxkcGoAAAAg+2RF5H/44Yd6/PHHFQgEtGbNGtlsNjU2NioWi6msrEwTExOSJKfTOeNxLpdL0WhU//Vf/6V169apqqpKa9as0auvvpqJlwEAAABkhUWZHkCS+vr69Mknn+iee+6JH/vggw8kSWVlZcrNzZUkjY+Pz3hcJBKRw+HQ0qVL9dprryknJ0ehUEjf/OY39dZbb6VsNpvNNuf6fGsAAABAuliWNedaVkT+6OiorrnmmhnHurq6tGzZMl177bWSpIKCAvX396u0tFSSFAqFFI1GVVJSopycnPjjIpGISkpKUjZbZWWlent7zzteVVUlSbOuAQAAAJmUFbfrrFq1SqdOnVJfX5/OnTunrq4u+f1+lZWVxc9pampSW1ubTp8+rWg0Kq/XK4/Ho8LCQknS6dOntX79enk8Hm3bti1DrwQAAADIvKyI/IqKCj3xxBO6//77tXz5cgWDQa1Zs2ZG5Pt8Pt17772qqKjQddddp1gspo6Ojvj69ddfr9dff13BYFCPPPJIJl4GAAAAkBVs1nw382RQYWGhnn766fhHaM5nampKixcvliSFw2FVVVXpxIkTC55hvltyuF0HAAAA2Sor7sn/rGg0qsHBwRlX8ufz1ltvac+ePcrJydFHH32k/fv3p3lCAAAAIHtlZeSfOHFCdrtdxcXFSZ2/fv16HTlyJM1TAQAAABeHrIz8devWKRqNZnoMAAAA4KKUFb94CwAAACB1iHwAAADAMEQ+AAAAYBgiHwAAADAMkQ8AAAAYhsgHAAAADEPkAwAAAIYh8gEAAADDEPkAAACAYYh8AAAAwDBEPgAAAGAYIh8AAAAwDJEPAAAAGIbIBwAAAAxD5AMAAACGIfIBAAAAwxD5AAAAgGGIfAAAAMAwRD4AAP+XvfsPj6q88///irGKwkwCIUKVhpBE2qLgTDGmpOiMAkYUXSHFim3EQozVVqWkaVLYi7qINsTYJe3VWqcFgoa0BUFTKmZtrUSrdbQLSc1a1w0JCXGhITRhRmiDTO7vH/txvk4hiGWSOXN4Pq7rfQ1z7jM373PIj1duTs4AgM3ETcgPhUIqKSlRamqqHA6H8vPz1d3dHeu2AAAAAMuJm5BfXl6uuro6+f1+dXZ2SpIKCgpi3BUAAABgPZYK+Zs2bVJWVpZGjBiha6+9VsXFxZo/f74kyefzqbS0VBkZGUpKSlJFRYXq6+vV3t4e464BAAAAa7FMyN+wYYOKi4u1ceNGBYNBzZkzR1VVVXK73ert7VVHR4emTp0a3j8zM1NOp1NNTU0x7BoAAACwHkuE/CNHjmjp0qXy+XzKyclRQkKCCgsLFQqF5Ha7FQwGJUlJSUkRr0tOTlYgEAg/P3jwoEaOHKmampoh7R8AAACwkrNj3YAkNTQ0qL+/X7Nnzw5vO3DggCTJ7XZr2LBhkqRDhw5FvK63t1dOpzP8fNWqVZo+fXrUe0tISBhw/GRjAAAAwGAxxgw4ZomQ39XVpQsuuCBiW21trcaMGaOxY8dKktLS0rRz5065XC5JUmtrqwKBgKZMmSJJamlp0cGDByMu6YkGj8ejHTt2HLfd6/VK0gnHAAAAgFiyxOU6kyZNUktLixoaGnT06FHV1taqvLxcbrc7vE9RUZFWr16ttrY2BQIBlZaWKi8vT+np6ZKkFStW6Lvf/W6MjgAAAACwDkus5GdnZ2v58uWaN2+eEhMTtWDBAuXk5ESE/LKyMvX09Cg7O1t9fX2aNWtW+Nr7V199VSkpKcrMzIzVIQAAAACWkWBOdjFPDKWnp+uRRx4J30LzZH7wgx9oy5YtOu+889TS0qLhw4frJz/5iaZNm3ZaPZzskhwu1wEAAIBVWWIl/x8FAgG1t7dHrOSfzH333af77rtPkvTAAw8oKyvrtAM+AAAAEK8sGfKbm5vlcDj+qctvHnjggeg3BAAAAMQRS4b83NzciPvfAwAAADh1lri7DgAAAIDoIeQDAAAANkPIBwAAAGyGkA8AAADYDCEfAAAAsBlCPgAAAGAzhHwAAADAZgj5AAAAgM0Q8gEAAACbIeQDAAAANkPIBwAAAGyGkA8AAADYDCEfAAAAsBlCPgAAAGAzhHwAAADAZgj5AAAAgM0Q8gEAAACbIeQDAAAANkPIBwAAAGyGkA8AAADYTNyE/FAopJKSEqWmpsrhcCg/P1/d3d2xbgsAAACwnLgJ+eXl5aqrq5Pf71dnZ6ckqaCgIMZdAQAAANZjqZC/adMmZWVlacSIEbr22mtVXFys+fPnS5J8Pp9KS0uVkZGhpKQkVVRUqL6+Xu3t7THuGgAAALAWy4T8DRs2qLi4WBs3blQwGNScOXNUVVUlt9ut3t5edXR0aOrUqeH9MzMz5XQ61dTUFMOuAQAAAOuxRMg/cuSIli5dKp/Pp5ycHCUkJKiwsFChUEhut1vBYFCSlJSUFPG65ORkBQIBSdJ5550nr9crr9crn8835McAAAAAWMXZsW5AkhoaGtTf36/Zs2eHtx04cECS5Ha7NWzYMEnSoUOHIl7X29srp9MpSbrooou0Y8eOQektISFhwPGTjQEAAACDxRgz4JglQn5XV5cuuOCCiG21tbUaM2aMxo4dK0lKS0vTzp075XK5JEmtra0KBAKaMmWKJGn//v3yeDwaOXKkvv/97ysjIyMqvXk8nhP+8OD1eiVpUH6wAAAAAE6HJS7XmTRpklpaWtTQ0KCjR4+qtrZW5eXlcrvd4X2Kioq0evVqtbW1KRAIqLS0VHl5eUpPT5ck7dmzRw0NDbr33nu1aNGiGB0JAAAAEHuWCPnZ2dlavny55s2bp3Hjxsnv9ysnJyci5JeVlenGG29Udna2LrroIoVCIdXU1ITHR48eLUmaMWNG+BabAAAAwJnIEiFfklauXKmDBw+qq6tLVVVVeueddyJCfmJioiorK9Xd3a1gMKitW7eGg/17772nUCgkSWpubtaoUaNicgwAAACAFVjimvx/FAgE1N7eHhHyT+att97SXXfdJYfDIUl6/PHHB7M9AAAAwNIsGfKbm5vlcDiUmZl5SvtfccUV2rVr1yB3BQAAAMQHS4b83Nzc8P3vAQAAAHw8lrkmHwAAAEB0EPIBAAAAmyHkAwAAADZDyAcAAABshpAPAAAA2AwhHwAAALAZQj4AAABgM4R8AAAAwGYI+QAAAIDNEPIBAAAAmyHkAwAAADZDyAcAAABshpAPAAAA2MzZsW4AH9+SJUvU2NgY9XldLpfWrFkT9XkBAAAwtFjJj0ONjY1RD/mDMScAAABig5X8OOVyubRjx46ozef1eqM2FwAAAGKLlXwAAADAZgj5AAAAgM0Q8s9wxphYtwAAAIAoi5uQHwqFVFJSotTUVDkcDuXn56u7uzvWbVnSsWPH9Mwzz2jx4sWaO3eubrnlFn3rW99Sc3NzxH5btmzRvHnz1NfXF6NOAQAAMBjiJuSXl5errq5Ofr9fnZ2dkqSCgoIYd2UtoVBIFRUVysjI0Ny5c/XMM89o9+7devPNN/XDH/5QkydPlsfj0e9+9ztt2bJFt956q7q6unT06NFYtw4AAIAostTddTZt2qRly5Zp//79ys3N1eTJk9XR0aHNmzfL5/NpxYoVysjIkCRVVFQoKytL7e3tGj9+fIw7j72+vj596UtfUl1dnWbMmKEf/OAHmjNnjs4++//+ibu7u7V+/Xr96Ec/0qxZs5SQkKCcnBw999xzcjgcMe4eAAAA0WSZlfwNGzaouLhYGzduVDAY1Jw5c1RVVSW3263e3l51dHRo6tSp4f0zMzPldDrV1NQUw66twRijRYsWqa6uTlVVVfrtb3+rm2++ORzwJWn06NEqKSnRqlWrZIxRKBTS17/+dTmdzhh2DgAAgMFgiZB/5MgRLV26VD6fTzk5OUpISFBhYaFCoZDcbreCwaAkKSkpKeJ1ycnJCgQCkqSmpiZdd911uuaaa/TVr351yI8hlhoaGlRbW6sHHnhA991334D7bdmyRV/96leVk5Ojyy67TN/+9rd17NixIewUAAAAQ8JYwPbt201ycnLEtj179hhJZt++faanp8dIMrt27YrYx+l0mrq6OtPX12dmzpxpent7o9qXx+MxkixZHo8n3Of8+fPNyJEjzZEjRwY8lqeeesqcffbZJjc31xw6dMg888wzRpLZunWr5Y+VoiiKoiiKOr5OxhLX5Hd1demCCy6I2FZbW6sxY8Zo7NixkqS0tDTt3LlTLpdLktTa2qpAIKApU6botddek8Ph0O23365Dhw7pW9/6lubMmROV3jwezwnfWfaDd4iN5rvOnqoPvzvt/v379fTTT+v+++/Xeeedd8L9P/gl2yuuuELPPfecnE6nbrjhBn3qU5/SY489prlz50oa+FgBAAAQXyxxuc6kSZPU0tKihoYGHT16VLW1tSovL5fb7Q7vU1RUpNWrV6utrU2BQEClpaXKy8tTenq63n33Xe3cuVMbNmzQ008/rW9/+9vhy3js7u2339axY8d0/fXXn3D8RAFfks4++2xde+21evPNN4eyXQAAAAwBS6zkZ2dna/ny5Zo3b54SExO1YMEC5eTkRIT8srIy9fT0KDs7W319fZo1a5ZqamokSaNGjdLnP/95JScnS5KmTJmilpYWfe5zn4vJ8QyljIwM/fu//7s+85nPHDd26NAhFRUVHRfwP3DbbbcpJydnqFoFAADAEEkwxppveZqenq5HHnlE8+fP/8h9Dx06pBkzZugPf/iDjDHKzs7W7373O6WkpJxWDye7JMcKl+ucyt+9c+dOZWVlfeRddGJ5PAAAAIguS6zk/6NAIKD29vaIlfyTSUpK0re+9S1dffXVOnr0qO67777TDvh2cSb8bwYAAAAiWTLkNzc3y+FwKDMz85Rfc+utt+rWW28dxK4AAACA+GDJkJ+bm3vG/OIsAAAAEG2WuLsOAAAAgOgh5AMAAAA2Y8nLdfDRGhsbI94UKxrzffBGYwAAAIhvrOTHIZfLdcqBvLVjX8RjNOYEAACAtbGSH4fWrFlzyvuWrfapvLQo/AgAAAD7YyUfAAAAsBlCPgAAAGAzhHwAAADAZgj5AAAAgM0Q8gEAAACbIeQDAAAANkPIBwAAAGyGkA8AAADYDG+Ghbi0ZMkSNTY2Rn1el8v1sd5sDAAAwIpYyUdcamxsjHrIH4w5AQAAYoGVfMQtl8ulHTt2RG0+r9cbtbkAAABiiZV8AAAAwGYI+QAAAIDNEPIBAAAAm4mbkB8KhVRSUqLU1FQ5HA7l5+eru7s71m3Bwvr7+/X222/rtdde065du0748dLV1aXXXnstBt0BAAAMnrgJ+eXl5aqrq5Pf71dnZ6ckqaCgIMZdwYq6u7tVUVGhrKwsffazn9W0adP0uc99TmPHjtUXv/hF/e53v5MxRl1dXZoxY4ZuuukmHT58ONZtAwAARI2l7q6zadMmLVu2TPv371dubq4mT56sjo4Obd68WT6fTytWrFBGRoYkhUNce3u7xo8fH+POYRW/+tWvtGDBAh05ckQej0fLly/XhRdeqL6+Pr366qtat26dtmzZIo/HowMHDqitrU2//vWvNXz48Fi3DgAAEDWWWcnfsGGDiouLtXHjRgWDQc2ZM0dVVVVyu93q7e1VR0eHpk6dGt4/MzNTTqdTTU1NMewaVrJ161bNnTtXl1xyid58803t2LFDixcv1uzZs3XzzTeroqJCnZ2dWrVqlRoaGvT222/rqaee0jXXXBPr1gEAAKLKEiH/yJEjWrp0qXw+n3JycpSQkKDCwkKFQiG53W4Fg0FJUlJSUsTrkpOTFQgE9Prrr8vr9crr9erzn/+8UlJSYnEYiKHW1lZ9+ctf1hVXXKEXX3xRl1566Qn3CwQC+sUvfqFzzjlH/f392rp16xB3CgAAMPgscblOQ0OD+vv7NXv27PC2AwcOSJLcbreGDRsmSTp06FDE63p7e+V0OnXFFVeE3xSptrZWv//974emcVjGY489pvfff1+bN28e8NKbD67B3717t5577jlt3bpVP/3pT/Xwww/rggsuGOKOAQAABpGxgOrqajNx4sSIbQ8//LAZM2ZM+HlaWppZu3Zt+Pnu3buNJNPW1hbxury8PPPqq69GpS+Px2MkURYtj8djjDHmyJEjZtSoUeaLX/zigP+Wf/nLX8yll15qzjvvPPPCCy8YY4x56623jCTzve99j39viqIoiqLirk7GEiv5kyZNUktLixoaGjRt2jQ99dRTKi8vV25ubnifoqIirV69WldffbVSUlJUWlqqvLw8paenh/fZv3+/9uzZo2nTpkWtN4/HE/5fgg/zer2SdMIxKylb7VN5aVH40S4+OP+S9NJLL+mvf/2rFi1adMJ9P7yC/+tf/zp8Df5nP/tZ5ebmauvWrSorK5M08L83AABAPLHENfnZ2dlavny55s2bp3Hjxsnv9ysnJ0dutzu8T1lZmW688UZlZ2froosuUigUUk1NTcQ8Gzdu1IIFC4a6fcTY0aNHNWbMGGVlZR03dvDgwRMG/A9Mnjw5fDkYAACAXVhiJV+SVq5cqZUrV4afp6en68477ww/T0xMVGVlpSorKweco6amRk899dSg9gnrufHGG7V///4TjjkcDl122WWqqqo64V10fvKTnwx2ewAAAEPOMiH/wwKBgNrb2yNW8j/Km2++qfPPP1+ZmZmD2BnizTnnnHPc//gAAADYnSUu1/lHzc3NcjgcHyuwT548Wa+88sogdgUAAADEB0uu5Ofm5ioQCMS6DQAAACAuWXIlHwAAAMA/j5APAAAA2IwlL9cBTkVjY2PE/fKjMZ/L5YrafAAAALHCSj7iksvlOuVA3tqxL+IxGnMCAABYGSv5iEtr1qw55X3t+q6/AAAAA2ElHwAAALAZQj4AAABgM4R8AAAAwGYI+QAAAIDNEPIBAAAAmyHkAwAAADZDyAcAAABshpAPAAAA2AwhHwAAALAZ3vEWiFNLlixRY2Nj1Od1uVwf6x2FAQCA9bCSD8SpxsbGqIf8wZgTAAAMPVbygTjmcrm0Y8eOqM3n9XqjNhcAAIgdVvIBAAAAmyHkAwAAADZDyAfOcMYY9ff3x7oNAAAQRXET8kOhkEpKSpSamiqHw6H8/Hx1d3fHui3Asnp6erRmzRrddNNNuuqqq5SXl6d7771Xf/rTn8L7GGO0YsUKFRQUKBQKxbBbAAAQTXET8svLy1VXVye/36/Ozk5JUkFBQYy7Aqynt7dXd955py666CJ985vf1P/8z//orLPOUm9vr372s5/psssu0/Tp0/Xyyy9rxYoVWrVqlc4//3wlJCTEunUAABAllrq7zqZNm7Rs2TLt379fubm5mjx5sjo6OrR582b5fD6tWLFCGRkZkqSKigplZWWpvb1d48ePj3HngDXs27dPs2bN0jvvvKM77rhDd999t9xud3j8r3/9q6qrq7VmzRp5vV719/ersLBQjz/+uM46K25+5gcAAB/BMt/VN2zYoOLiYm3cuFHBYFBz5sxRVVWV3G63ent71dHRoalTp4b3z8zMlNPpVFNTUwy7Bqzj8OHDuuGGG7Rnzx7V19fL5/NFBHxJGjVqlL75zW/qlltuUX9/vxISEnTbbbcR8AEAsBlLfGc/cuSIli5dKp/Pp5ycHCUkJKiwsFChUEhut1vBYFCSlJSUFPG65ORkBQIBGWP0jW98Q9OmTVN2drZqampicRhATFVXV2vXrl36+c9/rmuuueaE+3xwDf6jjz6qgoICpaenq7S0dIg7BQAAg85YwPbt201ycnLEtj179hhJZt++faanp8dIMrt27YrYx+l0mrq6OvPmm28ar9drjDHmvffeMxMmTIhKXx6Px0iiKMuWx+MxxhjT399vJk2aZC6//PIBP577+/vNv/7rvxpJprCw0IRCIfPDH/7QSDKvv/46H/MURVEUFWd1MpZYye/q6tIFF1wQsa22tlZjxozR2LFjlZycrLS0NO3cuTM83traqkAgoClTpujCCy/UOeeco/fff1/BYFCjRo2KWm8ej0fGmOPK4/EMOGalKi1/POLxTCy7ngOPxxP+OH3llVf01ltv6Z577jnhx7ExJvxLth++Br+goEDDhw/X448//pEf8xRFURRFWatOxhIhf9KkSWppaVFDQ4OOHj2q2tpalZeXR1xPXFRUpNWrV6utrU2BQEClpaXKy8tTenq6Ro4cqczMTE2cOFFTpkzR8uXLY3g0wND785//LEmaOXPmcWPGnDjgS/93CdwVV1yht99+e0j7BQAAg8sSd9fJzs7W8uXLNW/ePCUmJmrBggXKycmJCPllZWXq6elRdna2+vr6NGvWrPC1988//7zeffddtbS06NChQ5o+fbquv/56nXvuubE6JGBIeb1erV+//rj/EZOk3bt365FHHhnwLjplZWUfuRoAAADiiyVCviStXLlSK1euDD9PT0/XnXfeGX6emJioyspKVVZWnvD1o0aNUmJiohwOh95//33e2AdnlIsvvlgXX3zxCceysrL0xhtv6JJLLjnhXXSuvfbawW4PAAAMMUtcrvOPAoGA2tvbj7v930BmzpwpY4y+8IUvKDc3V/fee6/OP//8Qe4SiB+TJ0/mNpkAAJxBLLOS/2HNzc1yOBzKzMw8pf0TExNVXV09uE0BAAAAccKSIT83N1eBQCDWbQAAAABxif+/BwAAAGyGkA8AAADYjCUv1wFwahobG+X1eqM6n8vlitp8AAAgNljJB+KUy+U65UDe2rEv4jEacwIAAOtiJR+IU2vWrDnlfctW+1ReWhR+BAAA9sZKPgAAAGAzhHwAAADAZgj5AAAAgM0Q8gEAAACbIeQDAAAANkPIBwAAAGyGkA8AAADYDCEfAAAAsBneDAtA3FqyZIkaGxujPq/L5fpYbzYGAIDVsJIPIG41NjZGPeQPxpwAAAw1VvIBxDWXy6UdO3ZEbT6v1xu1uQAAiBVW8gEAAACbIeQDAAAANkPIBwAAAGwmbkJ+KBRSSUmJUlNT5XA4lJ+fr+7u7li3BcDiAoGAXn75ZT377LN68cUX9b//+7/H7bNr1y7t3LkzBt0BADA44ibkl5eXq66uTn6/X52dnZKkgoKCGHcFwKrefPNN3X333brooot01VVXac6cObrmmmv0qU99SnPnztVvfvMb9ff3a9euXZo5c6YWL14sY0ys2wYAICosdXedTZs2admyZdq/f79yc3M1efJkdXR0aPPmzfL5fFqxYoUyMjIkSRUVFcrKylJ7e7vGjx8f484BWIUxRqtWrdKKFSs0bNgwfelLX9Itt9yilJQUHT58WL/5zW/0s5/9TM8884yuvvpqNTU1acSIEdq6dasSEhJi3T4AAFFhmZX8DRs2qLi4WBs3blQwGNScOXNUVVUlt9ut3t5edXR0aOrUqeH9MzMz5XQ61dTUFMOuAVjNihUrtGLFCn3lK19RZ2enqqurdf311ysnJ0fXXHONvve976mzs1P333+/XnzxRR05ckS/+c1vNGHChFi3DgBA1Fgi5B85ckRLly6Vz+dTTk6OEhISVFhYqFAoJLfbrWAwKElKSkqKeF1ycrICgYAk6bvf/a5yc3Pl9XrV3Nw85McAIPb+4z/+Q6tWrdLixYv1xBNPKCUl5YT7vfXWW3ryySeVkpKiv//976qpqRniTgEAGFyWCPkNDQ3q7+/X7Nmzw9sOHDggSXK73XI4HJKkQ4cORbyut7dXTqdTjY2Nev311/Xqq6+qurpa999//9A1D8Ayqqqq9MlPflI//vGPB7z05oNr8EeMGKE33nhD//Iv/6LHHntMfX19Q9wtAACDyFhAdXW1mThxYsS2hx9+2IwZMyb8PC0tzaxduzb8fPfu3UaSaWtrM7/85S/N8uXLw2Of/OQnzfvvv3/afXk8HiOJoigLl8fjMcYY09LSYhISEsx3v/vdAT+nd+7caUaNGmXS0tJMa2urMcaY559/3kgyNTU1fN5TFEVRcVUnY4mV/EmTJqmlpUUNDQ06evSoamtrVV5eLrfbHd6nqKhIq1evVltbmwKBgEpLS5WXl6f09HRdcsklevHFF3X06FHt3LlT+/fvV29vb1R683g8MsYcVx6PZ8AxK1Vp+eMRj2dicQ7sew48Hk/4c3X79u0yxuiOO+444efyh1fwd+zYEb4Gf8aMGRo3bpx+9atffeTnPUVRFEVZqU7GEnfXyc7O1vLlyzVv3jwlJiZqwYIFysnJiQj5ZWVl6unpUXZ2tvr6+jRr1qzwdbSXXHKJFixYoJkzZ2rixImaPHnygNfiArCn8847T5/+9Kf1qU996rixP//5zycM+JJ01lln6fOf/7xGjx49lO0CADCoLLGSL0krV67UwYMH1dXVpaqqKvsZP2YAACAASURBVL3zzjsRIT8xMVGVlZXq7u5WMBjU1q1bI74pf+Mb39BLL72kJUuWyOVycSs84AxTWFiot99+W4mJiceNjR8/XjfeeONxAf8Dmzdv1o9+9KOhaBMAgCFhiZX8fxQIBNTe3h4R8j/Ktddeq2PHjmn06NF8swYQ4fzzz1d1dXWs2wAAYMhYMuQ3NzfL4XAoMzPzlF/z/PPPD2JHAAAAQPywZMjPzc0N3/8eAAAAwMdjmWvyAQAAAEQHIR8AAACwGUtergMAp6qxsVFerzeq87lcrqjNBwBALLCSDyBuuVyuUw7krR37Ih6jMScAAFbFSj6AuLVmzZpT3rdstU/lpUXhRwAA7IyVfAAAAMBmCPkAAACAzRDyAQAAAJsh5AMAAAA2Q8gHAAAAbIaQDwAAANgMIR8AAACwGUI+AAAAYDOEfAAAAMBmeMdbAIhjS5YsUWNjY9TndblcH+sdhQEA1sJKPgDEscbGxqiH/MGYEwAwtFjJB4A453K5tGPHjqjN5/V6ozYXACA2WMkHAAAAbIaQDwAAANgMIR8AoPfff1/GmFi3AQCIEsuF/FAopJKSEqWmpsrhcCg/P1/d3d2xbgsA4tLbb7+t+++/X9OmTdOll16qnJwcFRUVadeuXeF9+vr6lJ+fr3vvvTeGnQIAoslyIb+8vFx1dXXy+/3q7OyUJBUUFMS4KwCIL2+//bZmzJihz372s3rsscd03nnnaeLEiXI6naqpqdHnPvc5TZs2Ta+88ormz5+vbdu26dJLL4112wCAKInJ3XU2bdqkZcuWaf/+/crNzdXkyZPV0dGhzZs3y+fzacWKFcrIyJAkVVRUKCsrS+3t7Ro/fnws2gWAuPL666/ruuuuU2Jioh5++GEtWrRIY8aMCY/39PToiSee0COPPCKPx6NQKKTHHntMX/va12LYNQAgmoZ8JX/Dhg0qLi7Wxo0bFQwGNWfOHFVVVcntdqu3t1cdHR2aOnVqeP/MzEw5nU41NTUNdasAEHf27NmjG264QSNHjtTrr7+u73znOxEBX5JGjhypr33ta7rkkksUCoV0zjnnaNq0aTHqGAAwGIY05B85ckRLly6Vz+dTTk6OEhISVFhYqFAoJLfbrWAwKElKSkqKeF1ycrICgYAkaebMmUpNTdWqVasi9qmpqdG0adM0bdo0vfjii0NzQABgMatXr9Z7772n5557ThMmTDjhPn19fZo/f76ef/55lZeXy+Fw6N/+7d+GuFMAwKAyQ2j79u0mOTk5YtuePXuMJLNv3z7T09NjJJldu3ZF7ON0Ok1dXZ0xxpi9e/ea9evXmwcffDA83tPTYy677DLzt7/9zRw4cMBcdtllJhQKnXa/Ho/HSKIoirJ0eTweY4wxhw4dMsOHDzd33HHHgF/X/v73v5sbb7zRSDKPPfaYMcaY0tJSc9ZZZ5m9e/fytY+iKCqO6mSGdCW/q6tLF1xwQcS22tpajRkzRmPHjlVycrLS0tK0c+fO8Hhra6sCgYCmTJkiSRo3btxx8/r9fnk8Hg0bNkyjR4/WhRdeqD179kSlZ4/HI2PMceXxeAYcs1KVlj8e8XgmFueAc2Dnc+DxeMJfr37xi1/o8OHDuueee0749eyDFfxt27ZFXIN/1113yRij9evXf+TXPoqiKMo6dTJDGvInTZqklpYWNTQ06OjRo6qtrVV5ebncbnd4n6KiIq1evVptbW0KBAIqLS1VXl6e0tPTB5z34MGDGjlyZPj5yJEjdfDgwcE8FACwnJaWFp177rnKzs4+bmyggC9JEyZMUFpamlpaWoayXQDAIBrSu+tkZ2dr+fLlmjdvnhITE7VgwQLl5OREhPyysjL19PQoOztbfX19mjVrlmpqak46b0pKinp6esLPe3t7lZKSMmjHAQBWtHjxYnm93hOOvf7666qvrx/wLjpr165VamrqIHcIABgqQ34LzZUrV2rlypXh5+np6brzzjvDzxMTE1VZWanKyspTnjMnJ0ff+c531NfXp8OHD+vdd9896co/ANjRpz/9aX36058+4diVV16pd955Z8CvjTNmzBjEzgAAQy0m98n/QCAQUHt7e8RK/kdZtGiR/H6/+vr65Pf7tW3bNiUnJ2vJkiXhFaxHH31UZ51luff5AoCYYvEDAM4cMQ35zc3NcjgcyszMPOXXrFu37oTbb7/9dt1+++3Rag0AAACIWzEN+bm5ueH73wMAAACIDq5pAQAAAGyGkA8AAADYTEwv1wEAnL7GxsYBb535z87ncrmiNh8AYOixkg8Acczlcp1SIG/t2HfCP5/OnAAA62IlHwDi2Jo1a05pv7LVPpWXFh33ZwCAPbGSDwAAANgMIR8AAACwGUI+AAAAYDOEfAAAAMBmCPkAAACAzRDyAQAAAJsh5AMAAAA2Q8gHAAAAbIY3wwIAxLUlS5aosbEx6vO6XK5TfrMxALAaVvIBAHGtsbEx6iF/MOYEgKHESj4AIO65XC7t2LEjavN5vd6ozQUAscBKPgAAAGAzhHwAAADAZgj5AAAAgM1YMuSHQiGVlJQoNTVVDodD+fn56u7ujnVbAIA41draqqefflpPPvmknnnmGbW3tx+3z5YtW/Tf//3fMegOAKLPkiG/vLxcdXV18vv96uzslCQVFBTEuCsAQDzp7+/Xtm3bNHv2bGVmZmrevHm6/fbbNXfuXGVkZOimm25SfX29jDH65S9/qVtuuUUrVqyIddsAEBUxu7vOpk2btGzZMu3fv1+5ubmaPHmyOjo6tHnzZvl8Pq1YsUIZGRmSpIqKCmVlZam9vV3jx4+PVcsAgDjxt7/9TQUFBdqyZYsuvPBCPfDAA5ozZ46SkpLU29urZ555Rj/96U+1bds2XXnllXrllVc0ffp0rV27NtatA0BUxGQlf8OGDSouLtbGjRsVDAY1Z84cVVVVye12q7e3Vx0dHZo6dWp4/8zMTDmdTjU1NcWiXQBAHDl27Jjmz5+vrVu3qqKiQnv27NF3v/tdTZ06VVlZWbr88su1atUq7d27V/Pnz9fLL7+slJQUbdu2TSNGjIh1+wAQFUMe8o8cOaKlS5fK5/MpJydHCQkJKiwsVCgUktvtVjAYlCQlJSVFvC45OVmBQECSNHPmTKWmpmrVqlUR+wy0HQBw5lizZo2effZZ/fjHP1ZJSYk+8YlPnHC/p59+Wlu2bNGECRN04MAB1dbWDnGnADB4hjzkNzQ0qL+/X7Nnzw5vO3DggCTJ7XbL4XBIkg4dOhTxut7eXjmdTklSdXW1HnnkkePmHmg7AODMEAqF9KMf/Uher1df+9rXBtzvl7/8pW677TZNnz5dTU1Nuvzyy/XDH/5Qxpgh7BYABpEZYtXV1WbixIkR2x5++GEzZsyY8PO0tDSzdu3a8PPdu3cbSaatrS28bf369ebBBx88bv6Btv8zPB6PkURRFEVZvDwejzHGmF//+tdGktm0adOAX9t/8YtfmLPOOstcddVVJhgMGmOMWbdunZFkduzYwdd/iqLipk5myFfyJ02apJaWFjU0NOjo0aOqra1VeXm53G53eJ+ioiKtXr1abW1tCgQCKi0tVV5entLT04e6XXk8HhljjiuPxzPgmJWqtPzxiMczsTgHnAPOQeRx2+0ceDye8Nfs+vp6jRgxQjfffPMJv6Z/eAX/2WefDV+Df+utt+oTn/iEnnvuuY/8+k9RFGWVOpkhv7tOdna2li9frnnz5ikxMVELFixQTk5ORMgvKytTT0+PsrOz1dfXp1mzZqmmpmaoWwUAxJlx48bp2muvPeF1+M8999wJA74knXfeeZoxY4YuvPDCoWwXAAZNTG6huXLlSq1cuTL8PD09XXfeeWf4eWJioiorK1VZWRmL9gAAcaq0tHTAsWnTpunrX/+6Hn744RPeRefDq/gAEO9idp/8DwQCAbW3t0es5H+URYsWye/3q6+vT36/X9u2bTvpdgAAkpOT9YMf/CDWbQDAkIh5yG9ubpbD4VBmZuYpv2bdunUfazsAAABwJol5yM/NzQ3f/x4AAADA6YvJO94CAAAAGDyEfAAAAMBmYn65DgAAp6uxsVFerzeq87lcrqjNBwBDjZV8AEBcc7lcpxTIWzv2nfDPpzMnAFgVK/kAgLi2Zs2aU9qvbLVP5aVFx/0ZAOyIlXwAAADAZgj5AAAAgM0Q8gEAAACbIeQDAAAANkPIBwAAAGyGkA8AAADYDCEfAAAAsBlCPgAAAGAzhHwAAADAZnjHWwAA4tySJUvU2NgY9XldLtcpv6MwAGthJR8AgDjX2NgY9ZA/GHMCGDqs5AMAYAMul0s7duyI2nxerzdqcwEYeqzkAwAAADZDyAcAAABshpAPAAAkScFgUMaYWLcBIAosGfJDoZBKSkqUmpoqh8Oh/Px8dXd3x7otAADiTn9/v+rr6zV37lxdfPHFuvDCC/WZz3xGixYt0h//+Mfwfvv379cVV1yhBx98MIbdAogWS4b88vJy1dXVye/3q7OzU5JUUFAQ464AAIgv27dv18SJEzV79my9+uqruvzyy3X99ddr0qRJ2rRpk7Kzs3XFFVfoxRdf1NVXX629e/fyC7eATcTs7jqbNm3SsmXLtH//fuXm5mry5Mnq6OjQ5s2b5fP5tGLFCmVkZEiSKioqlJWVpfb2do0fPz5WLQMAEDeefPJJ3XHHHZo0aZJ+/vOfa968eTrnnHPC44cOHdKTTz6plStXaubMmTr33HNVX1+vq666KoZdA4iWmKzkb9iwQcXFxdq4caOCwaDmzJmjqqoqud1u9fb2qqOjQ1OnTg3vn5mZKafTqaampli0CwBAXNmxY4cWLVokr9erP/zhD7r11lsjAr4kJSUl6Ytf/KKcTqeMMfrEJz6htLS0GHUMINqGPOQfOXJES5culc/nU05OjhISElRYWKhQKCS3261gMCjp/774fFhycrICgYAkaebMmUpNTdWqVavC47t379ZVV12lK6+8UtOnT4+4zhAAgDPJihUrdNFFF+npp5/WiBEjTrjP/v37dfXVV2v//v2qqanR3//+d33/+98f4k4BDBozxLZv326Sk5Mjtu3Zs8dIMvv27TM9PT1Gktm1a1fEPk6n09TV1RljjNm7d69Zv369efDBB8Pj3d3dpru72xhjzH/913+Z6dOnn3avHo/HSKIoiqIoy5fH4zHGGPOnP/3JSDKPPPLIgN/f9u3bZz7zmc+Y4cOHm4aGBmOMMV/+8peN0+k0wWCQ74EUFSd1MkO+kt/V1aULLrggYlttba3GjBmjsWPHKjk5WWlpadq5c2d4vLW1VYFAQFOmTJEkjRs37rh5U1JSlJKSIkk699xzlZiYGJV+PR6PjDHHlcfjGXDMSlVa/njE45lYnAPOAecg8rg5B/Y7Bx6PJ/x9a926dTr33HP11a9+9YTf1z5Ywd+7d6+2b98evgb/nnvuUSAQ0JYtWz7yeyBFUdaokxnykD9p0iS1tLSooaFBR48eVW1trcrLy+V2u8P7FBUVafXq1Wpra1MgEFBpaany8vKUnp7+kfOHQiHdd999KisrG8SjAADAmvbs2aOJEyeGF74+bKCAL0k5OTmSpLa2tiHrFcDgGfK762RnZ2v58uWaN2+eEhMTtWDBAuXk5ESE/LKyMvX09Cg7O1t9fX2aNWuWampqPnJuY4wWLVqkOXPm6LrrrhvMwwAAwJIqKirCv9/2j1566SW9++67xwV8SUpMTNTLL7+sCRMmDEWbAAZZTG6huXLlSq1cuTL8PD09XXfeeWf4eWJioiorK1VZWfmx5r333nuVlZWlu+++O2q9AgAQTy6++OIBx2655RZdffXVSk1NPeH49OnTB6stAEMsZvfJ/0AgEFB7e3vESv5HWbRokfx+v/r6+uT3+7Vt2zbt2LFDPp9Pubm5euGFFzRq1Cht3bp1EDsHACD+DBTwAdhLzEN+c3OzHA6HMjMzT/k169atO26b1+vV0aNHo9kaAAAAEJdiHvJzc3PD978HAAAAcPpi8o63AAAAAAYPIR8AAACwmZhfrgMAAE5fY2OjvF5vVOdzuVxRmw/A0GIlHwCAOOdyuU4pkLd27It4jMacAKyJlXwAAOLcmjVrTmm/stU+lZcWhR8B2Bcr+QAAAIDNEPIBAAAAmyHkAwAAADZDyAcAAABshpAPAAAA2AwhHwAAALAZQj4AAABgM4R8AAAAwGYI+QAAAIDNEPIBAAAAmyHkAwAAADZDyAcAAABshpAPAAAA2AwhHwAAALAZy4X8UCikkpISpaamyuFwKD8/X93d3bFuCwAAAIgblgv55eXlqqurk9/vV2dnpySpoKAgxl0BAAAA8SMmIX/Tpk3KysrSiBEjdO2116q4uFjz58+XJPl8PpWWliojI0NJSUmqqKhQfX292tvbY9EqAAAAEHeGPORv2LBBxcXF2rhxo4LBoObMmaOqqiq53W719vaqo6NDU6dODe+fmZkpp9OppqamoW4VAAAAiEtDGvKPHDmipUuXyufzKScnRwkJCSosLFQoFJLb7VYwGJQkJSUlRbwuOTlZgUBAkjRz5kylpqZq1apV4fG//OUvys3NldfrVU5Ojl544YWhOygAAADAYs4eyr+soaFB/f39mj17dnjbgQMHJElut1vDhg2TJB06dCjidb29vXI6nZKk6upq/fa3vw1fry9Jo0eP1ssvv6zExES1trbqS1/6kt54443BPhwAAADAmswQqq6uNhMnTozY9vDDD5sxY8aEn6elpZm1a9eGn+/evdtIMm1tbeFt69evNw8++OAJ/47//M//NIsWLYpKvx6Px0iiKIqiKIqiKMvVyQzp5TqTJk1SS0uLGhoadPToUdXW1qq8vFxutzu8T1FRkVavXq22tjYFAgGVlpYqLy9P6enpJ527ra1N06dPV15enubOnRu1nj0ej4wxx5XH4xlwzEpVWv54xOOZWJwDzgHnIPK4OQecgzP1+CnKbnUyQxrys7OztXz5cs2bN0/jxo2T3+9XTk5ORMgvKyvTjTfeqOzsbF100UUKhUKqqan5yLknTJig3//+9/L7/frGN74xmIcBAAAAWNqQ311n5cqVOnjwoLq6ulRVVaV33nknIuQnJiaqsrJS3d3dCgaD2rp1q0aPHn3SOfv6+sJ/djqdGjFixKD1DwAAAFjdkP7i7T8KBAJqb2+PCPkfZdGiRfL7/err65Pf79e2bdv0xhtvaNmyZUpMTNT777+vqqqqQewaAAAAsLaYhvzm5mY5HA5lZmae8mvWrVt33Lbp06frpZdeimZrAAAAQNyKacjPzc0N3/8eAAAAQHQM+TX5AAAAAAYXIR8AAACwGUI+AAAAYDOEfAAAAMBmCPkAAACAzRDyAQAAAJsh5AMAAAA2Q8gHAAAAbIaQDwAAANgMIR8AAACwGUI+AAAAYDOEfAAAAMBmCPkAAACAzRDyAQAAAJsh5AMAAAA2Q8gHAAAAbIaQDwAAANgMIR8AAACwGUI+AAAAYDNxE/JDoZBKSkqUmpoqh8Oh/Px8dXd3x7otAAAAwHLiJuSXl5errq5Ofr9fnZ2dkqSCgoIYdwUAAABYj+VC/iuvvKIZM2bI6XQqOTlZ8+fPlyT5fD6VlpYqIyNDSUlJqqioUH19vdrb22PcMQAAAGAtlgr5W7Zs0dy5c3XPPfeoq6tLe/fuVWFhoXp7e9XR0aGpU6eG983MzJTT6VRTU1MMOwYAAACsxzIh//Dhw7rrrrvk8/mUn5+vYcOGyeFwKC8vT8FgUJKUlJQU8Zrk5GQFAgFJUk1NjaZNm6Zp06bpxRdfHPL+AQAAAKtIMMaYWDchSdu3b9fChQvV1dWlhISEiLHe3l6NHDlSu3btksvlCm9PSkrSk08+qauuukper1evvfaa3nvvPc2cOVM7d+7UWWed3s8wXq9XrR37dNtdxceN1T7+qCSdcAwAAAAYbOWlRQMPGovYsGGDufjiiwccT0tLM2vXrg0/3717t5Fk2traTH19vbnvvvvCY7Nnzza7d+8+7Z48Ho/xeDwfe8xKSssfj3g8E3EOOAfGcA4+fNycA87BmXr8wJnEMiv5zc3Ncrvd2rp1q2644QYFAgH5/X7l5eVJkh566CE98cQTqq+vV0pKihYvXqxgMKj6+nrV1tbqnXfe0QMPPCBJ+vKXv6wlS5YoOzv7tHpiJR8AAABWFRcr+cYYU11dbSZOnGiGDx9uxo4da5YtWxYeO3bsmCkuLjYpKSlmxIgRZu7cuebAgQPGGHPcSv7111/PSv7/w6oN58AYzoExnANWsTkHxvB5AJxJzh66nzU+2sKFC7Vw4cITjiUmJqqyslKVlZXHjeXk5Og73/mO+vr6dPjwYb377rtKT08f5G4BAAAAa7JUyP9nJScna8mSJfJ6vZKkRx999LR/6RYAAACIV7YI+ZJ0++236/bbb491GwAAAEDMsdwNAAAA2AwhHwAAALAZQj4AAABgM4R8AAAAwGYI+QAAAIDNEPIBAAAAmyHkAwAAADZDyAcAAABshpAPAAAA2AwhHwAAALAZQj4AAABgM4R8AAAAwGYI+QAAAIDNEPIBAAAAmyHkAwAAADZDyAcAAABshpAPAAAA2AwhHwAAALAZQj4AAABgM4R8AAAAwGYI+QAAAIDNxE3ID4VCKikpUWpqqhwOh/Lz89Xd3R3rtgAAAADLiZuQX15errq6Ovn9fnV2dkqSCgoKYtwVAAAAYD2WC/mvvPKKZsyYIafTqeTkZM2fP1+S5PP5VFpaqoyMDCUlJamiokL19fVqb2+PcccAAACAtVgq5G/ZskVz587VPffco66uLu3du1eFhYXq7e1VR0eHpk6dGt43MzNTTqdTTU1NMewYAAAAsJ4EY4yJdROSdPjwYY0fP14/+9nPdPPNN0eM7d27V2lpaWptbdWECRPC28ePH6+HHnpIX/nKVzRz5kw1NTXp/vvv17/+679GpSev16vWjn267a7i48ZqH39Ukk44BgAAAAy28tKigQeNRTz77LNm9OjRpr+//7ixnp4eI8ns2rUrYrvT6TR1dXXGGGP27t1r1q9fbx588MGo9eTxeIzH4/nYY1ZSWv54xOOZiHPAOTCGc/Dh4+YccA7O1OMHziSWuVynu7tbI0eOVEJCwnFjycnJSktL086dO8PbWltbFQgENGXKFEnSuHHjhqxXAAAAwMosc7lOc3Oz3G63tm7dqhtuuEGBQEB+v195eXmSpIceekhPPPGE6uvrlZKSosWLFysYDKq+vj48R3V1tTo7O7lcBwAAALYXF5frGGNMdXW1mThxohk+fLgZO3asWbZsWXjs2LFjpri42KSkpJgRI0aYuXPnmgMHDkS8nst1jsd/zXIOjOEcGMM54FIVzoExfB4AZ5Kzh+5njY+2cOFCLVy48IRjiYmJqqysVGVl5RB3BQAAAMQXS4X807Fo0SL5/X719fXJ7/dr27ZtsW4JAAAAiAnbhPx169bFugUAAADAEixzdx0AAAAA0UHIBwAAAGyGkA8AAADYDCEfAAAAsBlCPgAAAGAzhHwAAADAZgj5AAAAgM0Q8gEAAACbIeQDAAAANkPIBwAAAGyGkA8AAADYDCEfAAAAsBlCPgAAAGAzhHwAAADAZgj5AAAAgM0Q8gEAAACbIeQDAAAANkPIBwAAAGyGkA8AAADYDCEfAAAAsJm4CfmhUEglJSVKTU2Vw+FQfn6+uru7Y90WAAAAYDlxE/LLy8tVV1cnv9+vzs5OSVJBQUGMuwIAAACsx3Ih/5VXXtGMGTPkdDqVnJys+fPnS5J8Pp9KS0uVkZGhpKQkVVRUqL6+Xu3t7THuGAAAALAWS4X8LVu2aO7cubrnnnvU1dWlvXv3qrCwUL29vero6NDUqVPD+2ZmZsrpdKqpqSmGHQMAAADWY5mQf/jwYd11113y+XzKz8/XsGHD5HA4lJeXp2AwKElKSkqKeE1ycrICgYB2796tq666SldeeaWmT5+uP/7xj7E4BAAAAMASEowxJtZNSNL27du1cOFCdXV1KSEhIWKst7dXI0eO1K5du+RyucLbk5KS9OSTT+oLX/iCJCklJUVvvfWW7rrrLr388sun3ZPX61Vrxz7ddlfxcWO1jz8qSSccAwAAAAZbeWnRwIPGIjZs2GAuvvjiAcfT0tLM2rVrw893795tJJm2traI/VpaWozH44lKTx6PZ8C5TjZmJaXlj0c8nok4B5wDYzgHHz5uzgHn4Ew9fuBMYpmV/ObmZrndbm3dulU33HCDAoGA/H6/8vLyJEkPPfSQnnjiCdXX1yslJUWLFy9WMBhUfX19eI5QKKSbbrpJ9957r6677rrT7omVfAAAAFhVXKzkG2NMdXW1mThxohk+fLgZO3asWbZsWXjs2LFjpri42KSkpJgRI0aYuXPnmgMHDoTH+/v7ze23325+/OMfR60fVvLtgXPAOTCGc8AqNufAGD4PgDPJ2UP3s8ZHW7hwoRYuXHjCscTERFVWVqqysvKE4/fee6+ysrJ09913D2aLAAAAgOVZ5u46p2PHjh3y+Xx64YUX5PV6NW/evFi3BAAAAMSMpVby/1ler1dHjx6NdRsAAACAJdhiJR8AAADA/4+QDwAAANgMIR8AAACwGUI+AAAAYDOEfAAAAMBmCPkAAACAzRDyAQAAAJsh5AMAAAA2Q8gHAAAAbIaQDwAAANgMIR8AAACwGUI+AAAAYDOEfAAAAMBmCPkAAACAzRDyAQAAAJsh5AMAAAA2Q8gHAAAAbIaQDwAAANgMIR8AAACwGUI+AAAAYDOEfAAAAMBm4ibkh0IhlZSUKDU1Vf9fe3cfHOV5n3v8WiSDbNgXsSjGNpFAayumwUQgy7z4RcICL6lsYo2scWCi7FTooKmKPe2AupimQ2YqOrK6bk8nk86wR/bBoNA5cyxSmTHek3HGsVPN8TYuimLFnjpmsV5yyBEiWlZWY4KW+/zhyRodCbeOkJ5Hj76fteyJkQAAIABJREFUf1Z7/3bl67k9SJduVovb7VZ1dbWGh4etjgUAAADYzpwp+S0tLers7FQ8Htfg4KAkqba21uJUAAAAgP3YruR3dXWpoqJCHo9HPp9PNTU1kqRoNKpwOKzCwkJ5vV61trYqFoupr6/P4sQAAACAvdiq5Hd0dKiqqkqNjY0aGhrSwMCA6uvrlUwm1d/fr5KSksxjA4GAPB6Penp6LEwMAAAA2I/LGGOsDiFJY2NjKigoUFtbmx5//PEJs4GBAeXn5yuRSGjVqlWZ9YKCAh0+fFjbtm1TVVWVFi5cqN/85jf667/+a1VUVEw7U3l5uRL957WrYd+k2Ykjz0nSlDMAAABgprWE91x/aGzilVdeMcuWLTNXr16dNBsZGTGSTHd394R1j8djOjs7zfj4uBkfHzfGGHP27Flz77333pBMZWVlpqys7HPP7CTccmTC7XzEHrAHxrAH1143e8AezNfrB+YT25zkHzt2TM3NzXr//fennBcUFOjQoUOqq6uTJCUSCQUCAZ07d04rV67MPO7MmTP67ne/q+eff37amTjJBwAAgF3NiZP8d955x2RnZ5uXX37ZpNNpMzIyYmKxWGbe3NxsioqKTCKRMJcuXTJPPPGECQaDmXkikTD333+/WbZsmTl16tQNycRJvjOwB+yBMewBp9jsgTH8OQDmE9v84u2aNWvU1tam/fv3y+PxaPXq1XrzzTcz8wMHDuixxx5TaWmp7rjjDqXTabW3t2fmq1at0j//8z8rHo9r7969VlwCAAAAYAvZVge4VigUUigUmnKWlZWlSCSiSCQyaXb58mUtWrRIkuTxeLRkyZIZzQkAAADYma1K/u/rJz/5iQ4ePKisrCxduXJFf//3f291JAAAAMAyjij5DzzwwISX9gAAAADzmW1ekw8AAADgxqDkAwAAAA5DyQcAAAAchpIPAAAAOAwlHwAAAHAYSj4AAADgMJR8AAAAwGEo+QAAAIDDUPIBAAAAh6HkAwAAAA5DyQcAAAAchpIPAAAAOAwlHwAAAHAYSj4AAADgMJR8AAAAwGEo+QAAAIDDUPIBAAAAh6HkAwAAAA5DyQcAAAAchpIPAAAAOMycKfnpdFpNTU3Ky8uT2+1WdXW1hoeHrY4FAAAA2M6cKfktLS3q7OxUPB7X4OCgJKm2ttbiVAAAAID92K7kd3V1qaKiQh6PRz6fTzU1NZKkaDSqcDiswsJCeb1etba2KhaLqa+vz+LEAAAAgL3YquR3dHSoqqpKjY2NGhoa0sDAgOrr65VMJtXf36+SkpLMYwOBgDwej3p6eixMDAAAANiPbUr+2NiYGhoaFI1GVV1drZycHLndbgWDQY2OjkqSvF7vhOf4fD6lUqnM/YsXLyo3N1ft7e2zmh0AAACwE5cxxlgdQpJOnz6tUCikoaEhuVyuCbNkMqnc3Fx1d3eruLg4s+71enX8+HHt2LFDkvRnf/Zn+uCDD/Tkk0/qG9/4xrQzlZeXK9F/Xrsa9k2anTjynCRNOQMAAABmWkt4z/WHxiZefPFFc9ddd113np+fb55//vnM/bNnzxpJ5ty5c8YYY37xi1+Y2tpac+jQIXP8+PEbkqmsrMyUlZV97pmdhFuOTLidj9gD9sAY9uDa62YP2IP5ev3AfGKbk/ze3l6tW7dOJ0+eVGVlpVKplOLxuILBoCTp8OHDOnbsmGKxmPx+v3bv3q3R0VHFYjFJ0q5du/RXf/VXOn78uO68805O8gEAAOBoc+Ik3xhjjh49aoqKiszixYvN8uXLzcGDBzOz8fFxs2/fPuP3+82SJUtMVVWVuXDhgjHGmK6uLrN3715jjOEk///DqQ17YAx7YAx7wCk2e2AMfw6A+SR79n7W+I+FQiGFQqEpZ1lZWYpEIopEIpNmb7/9tn72s59p+/bt+uCDD7R48WIFAgFt2rRppiMDAAAAtmOrkv/7evrpp/X0009Lkr797W/rzjvvpOADAABg3nJEyb/Wt7/9basjAAAAAJayzfvkAwAAALgxKPkAAACAw1DyAQAAAIeh5AMAAAAOQ8kHAAAAHIaSDwAAADgMJR8AAABwGEo+AAAA4DCUfAAAAMBhKPkAAACAw1DyAQAAAIeh5AMAAAAOQ8kHAAAAHIaSDwAAADgMJR8AAABwGEo+AAAA4DCUfAAAAMBhKPkAAACAw1DyAQAAAIeh5AMAAAAOQ8kHAAAAHGbOlPx0Oq2mpibl5eXJ7Xarurpaw8PDVscCAAAAbGfOlPyWlhZ1dnYqHo9rcHBQklRbW2txKgAAAMB+bFfyu7q6VFFRIY/HI5/Pp5qaGklSNBpVOBxWYWGhvF6vWltbFYvF1NfXZ3FiAAAAwF5sVfI7OjpUVVWlxsZGDQ0NaWBgQPX19Uomk+rv71dJSUnmsYFAQB6PRz09PRYmBgAAAOzHZYwxVoeQpLGxMRUUFKitrU2PP/74hNnAwIDy8/OVSCS0atWqzHpBQYEOHz6sb3zjG7r55pu1YcMGSdKuXbu0Z8+eaWcqLy9Xov+8djXsmzQ7ceS5T/5bU8wAAACAmdYS/oy+a2zilVdeMcuWLTNXr16dNBsZGTGSTHd394R1j8djOjs7jTHGBAKBG56prKzMlJWVfe6ZnYRbjky4nY/YA/bAGPbg2utmD9iD+Xr9wHxim5P8Y8eOqbm5We+///6U84KCAh06dEh1dXWSpEQioUAgoHPnzmnlypVasmSJSkpKlJubq7/9279VYWHhtDNxkg8AAAC7mhMn+e+8847Jzs42L7/8skmn02ZkZMTEYrHMvLm52RQVFZlEImEuXbpknnjiCRMMBjPzCxcuGGOMee21127YCTsn+c7AHrAHxrAHnGKzB8bw5wCYT2zzi7dr1qxRW1ub9u/fL4/Ho9WrV+vNN9/MzA8cOKDHHntMpaWluuOOO5ROp9Xe3p6ZL1u2TJJUUVGReYtNAAAAYD7KtjrAtUKhkEKh0JSzrKwsRSIRRSKRSbOPPvpIN998s7KystTb26ulS5fOdFQAAADAtmxV8n9f7777rhoaGuR2uyVJR44csTgRAAAAYB1HlPz77rtP3d3dVscAAAAAbME2r8kHAAAAcGNQ8gEAAACHoeQDAAAADkPJBwAAAByGkg8AAAA4DCUfAAAAcBhKPgAAAOAwlHwAAADAYSj5AAAAgMNQ8gEAAACHoeQDAAAADkPJBwAAAByGkg8AAAA4DCUfAAAAcBhKPgAAAOAwlHwAAADAYSj5AAAAgMNQ8gEAAACHybY6AG6siyMpvf5W94S1l159I3O7+OYcbS+7Ty6Xy4p4AAAAmAWUfIdZ6nNr+NeX9OHgrzJrb//s3zK3jz/yAAUfAADA4ebMy3XS6bSampqUl5cnt9ut6upqDQ8PWx3Ldlwulx6t2KSpavyty3JV+pW7Zz0TAAAAZtecKfktLS3q7OxUPB7X4OCgJKm2ttbiVPa0Ynme1q8pmrT+6MOblLVgzvwvBwAAwO/Jdo2vq6tLFRUV8ng88vl8qqmpkSRFo1GFw2EVFhbK6/WqtbVVsVhMfX19Fie2p2DZfVp406evxro7kK+7Vq2wMBEAAABmi61KfkdHh6qqqtTY2KihoSENDAyovr5eyWRS/f39KikpyTw2EAjI4/Gop6fHwsT25Vlyi7ZsWidJWrDApcotGy1OBAAAgNlim5I/NjamhoYGRaNRVVdXKycnR263W8FgUKOjo5Ikr9c74Tk+n0+pVEqS1NPTo+3bt+vhhx/WH/3RH816fjt64N575PMs0eb1a5Tn91kdBwAAALPEZYwxVoeQpNOnTysUCmloaGjSu78kk0nl5uaqu7tbxcXFmXWv16vjx49r+/btqqys1EsvvTTpB4HpKC8vV6L/vHY17Js0O3HkOUmacgYAAADMtJbwnusPjU28+OKL5q677rruPD8/3zz//POZ+2fPnjWSzLlz58wbb7xhqqqqzI4dO0xZWZk5derUDclUVlZmysrKPvcM9hJuOTLhdj5iD9iDa6+bPWAP5uv1A/OJbU7ye3t7tW7dOp08eVKVlZVKpVKKx+MKBoOSpMOHD+vYsWOKxWLy+/3avXu3RkdHFYvF9I//+I965pln9NOf/lTGGN1///1666235PF4ppWJk3wAAADY1Zw4yTfGmKNHj5qioiKzePFis3z5cnPw4MHMbHx83Ozbt8/4/X6zZMkSU1VVZS5cuGCMMSYWi5knn3wy89gnn3zS/Ou//uu083CS7wycXLEHxrAHnGKzB8bw5wCYT2z1L96GQiGFQqEpZ1lZWYpEIopEIpNmGzdu1F/8xV/oypUrMsbovffeU0FBwUzHBQAAAGzJViX/9+X1erV//35t2bJFv/3tb/X000/L7/dbHQsAAACwhCNKviR9/etf19e//nWrYwAAAACWs8375AMAAAC4MSj5AAAAgMNQ8gEAAACHoeQDAAAADkPJBwAAAByGkg8AAAA4DCUfAAAAcBhKPgAAAOAwlHwAAADAYSj5AAAAgMNQ8gEAAACHoeQDAAAADkPJBwAAAByGkg8AAAA4DCUfAAAAcBhKPgAAAOAwlHwAAADAYSj5AAAAgMNkWx0AuNF+8/Fljf37xxPWhn99KXPrcrnkz/VYEQ0AAGBWUPLhOL/5+LL+7oX/qXT6amYt8t/+R+a2dO3dqv7qQ1bFAwAAmHG8XAeOs9Tn0YOla6ecLVp4kx556N5ZTgQAADC75kzJT6fTampqUl5entxut6qrqzU8PGx1LNjUlo3FWrL45snrm9bJvfgWCxIBAADMnjlT8ltaWtTZ2al4PK7BwUFJUm1trcWpYFeLFi1U8KHSCWtLvW7df+8aixIBAADMHtuV/K6uLlVUVMjj8cjn86mmpkaSFI1GFQ6HVVhYKK/Xq9bWVsViMfX19VmcGHZVsqZIt9/qz9z/6pYNuimbX0MBAADOZ6uS39HRoaqqKjU2NmpoaEgDAwOqr69XMplUf3+/SkpKMo8NBALyeDzq6emxMDHsbMGCBXq0YrMkadUXb9OaolUWJwIAAJgdLmOMsTqEJI2NjamgoEBtbW16/PHHJ8wGBgaUn5+vRCKhVas+LWoFBQU6fPiwioqK9Od//ueSpI8//li/+MUvdPHixWlnKi8vV6L/vHY17Js0O3HkOUmacgYAAADMtJbwnusPjU288sorZtmyZebq1auTZiMjI0aS6e7unrDu8XhMZ2fnhLXvfe975o//+I9vSKaysjJTVlb2uWewl9/+9orVESwXbjky4XY+mu97cO11swfswXy9fmA+sc1J/rFjx9Tc3Kz3339/ynlBQYEOHTqkuro6SVIikVAgENC5c+e0cuXKzOO2b9+uQ4cOadOmTdPOxEk+AAAA7GpOnOS/8847Jjs727z88ssmnU6bkZERE4vFMvPm5mZTVFRkEomEuXTpknniiSdMMBic8DnOnz9vvvSlL92wTJzkwyk4vWMPOMVmD4zhzwEwn9jmF2/XrFmjtrY27d+/Xx6PR6tXr9abb76ZmR84cECPPfaYSktLdccddyidTqu9vX3C5/je976nnTt3znZ0AAAAwFZs9X6CoVBIoVBoyllWVpYikYgikch1n9/e3q6XXnpppuIBAAAAc4JtTvKn65133tEtt9yiQCBgdRQAAADAUo4p+ffcc4+6urqsjgEAAABYzjElHwAAAMAnKPkAAACAw1DyAQAAAIeh5AMAAAAOQ8kHAAAAHIaSDwAAADgMJR8AAABwGEo+AAAA4DCUfAAAAMBhKPkAAACAw1DyAQAAAIeh5AMAAAAOQ8kHAAAAHIaSDwAAADgMJR8AAABwGEo+AAAA4DCUfAAAAMBhKPkAAACAw2RbHQDAjffh4K/045/8bMLa8e//IHN7+63LVLF5vRXRAADALKDkAw70xdu+oKHhEV349aXM2s/f/zBz+2DpWouSAQCA2TBnXq6TTqfV1NSkvLw8ud1uVVdXa3h42OpYgC1lZS1Q5cObppytvbtQK1csn+VEAABgNs2Zkt/S0qLOzk7F43ENDg5Kkmpray1OBdjXlwq/qKJVKyasZWdlaXv5BosSAQCA2WK7kt/V1aWKigp5PB75fD7V1NRIkqLRqMLhsAoLC+X1etXa2qpYLKa+vj6LEwP25HK5VPnwJi1wuTJrD963Vku9bgtTAQCA2WCrkt/R0aGqqio1NjZqaGhIAwMDqq+vVzKZVH9/v0pKSjKPDQQC8ng86unpsTAxYG+3LsvVhnV/IElyL75Z5RuLLU4EAABmg21K/tjYmBoaGhSNRlVdXa2cnBy53W4Fg0GNjo5Kkrxe74Tn+Hw+pVIpGWO0d+9ebdq0SaWlpWpvb7fiEgBb2vpAiXIWLVSw7D4tWniT1XEAAMAscBljjNUhJOn06dMKhUIaGhqS65qXF0hSMplUbm6uuru7VVz86Umk1+vV8ePHVVhYqKeeekqvv/66xsbGdM899yiRSEw7U3l5uRL957WrYd+k2Ykjz0nSlDMAAABgprWE91x3Zpu30BweHlZubu6kgi99cmKfn5+vM2fOZEp+IpFQKpXS2rVr5fF4tHDhQl25ckWjo6NaunTpDctVmH/blBv41qsnJH325gKwjwPPRtUS3pO5nW+uvW72gD2Yr9cPzCe2Ocnv7e3VunXrdPLkSVVWViqVSikejysYDEqSDh8+rGPHjikWi8nv92v37t0aHR1VLBaTMUZ/8id/oldffVVjY2M6cuSIqqqqpp2Jk3wAAADY1Wf+sG5s5OjRo6aoqMgsXrzYLF++3Bw8eDAzGx8fN/v27TN+v98sWbLEVFVVmQsXLhhjjInFYmbHjh1mfHzcXLx40axevdp8/PHH085TVlZmysrKPvcMgP2EW45MuJ1vrr1u9oA9mK/XD8wntnm5jiSFQiGFQqEpZ1lZWYpEIopEIlPOly5dqqysLLndbl25ckXpdHomowIAAAC2ZZt315mOrVu3yhij+++/X5s3b9ZTTz2lW265xepYAAAAgCVsdZL/+8rKytLRo0etjgEAAADYgiNO8gEAAAB8ipIPAAAAOAwlHwAAAHAYSj4AAADgMJR8AAAAwGEo+QAAAIDDUPIBAAAAh6HkAwAAAA5DyQcAAAAchpIPAAAAOAwlHwAAAHAYSj4AAADgMJR8AAAAwGEo+QAAAIDDUPIBAAAAh6HkAwAAAA5DyQcAAAAchpIPAAAAOEy21QEAYCYkUx8p9dG/T1jr/z9DmdtFN2Xr1rylVkQDAGDGUfIBONJHY7/RPxz/pwlrv7v/D8f/SY9VbKbkAwAca868XCedTqupqUl5eXlyu92qrq7W8PCw1bEA2NSK2/K0fk3RlLO8pT5tXPcHs5wIAIDZM2dKfktLizo7OxWPxzU4OChJqq2ttTgVADvb/lCpFt40+S8sH314o7Ky5syXPwAAPjfbfZfr6upSRUWFPB6PfD6fampqJEnRaFThcFiFhYXyer1qbW1VLBZTX1+fxYkB2JXHvVjlG4snrBWt+qK+FMi3KBEAALPDViW/o6NDVVVVamxs1NDQkAYGBlRfX69kMqn+/n6VlJRkHhsIBOTxeNTT02NhYgB292DpWvk8SyRJC1wuVT680eJEAADMPNuU/LGxMTU0NCgajaq6ulo5OTlyu90KBoMaHR2VJHm93gnP8fl8SqVSkqRDhw5p8+bNKi8vV29v76znB2BPN92Ura+Wb5AkbVz/B7p1Wa7FiQAAmHkuY4yxOoQknT59WqFQSENDQ3K5XBNmyWRSubm56u7uVnHxp3/17vV6dfz4ceXn5+uZZ57Rq6++qg8//FC7d+/WD3/4w2lnKi8vV6L/vHY17Js0O3HkOUmacgYAAADMtJbwnuvObPMWmsPDw8rNzZ1U8KVPTuzz8/N15syZTMlPJBJKpVJau3at/uVf/iXzUp6VK1fqvffe0/j4uLKzp395hfm3TbmBb716QtJnby4A+0inr87rX7Y98Gw08/Xq2o/nE/bg0+uer9cPzCe2Ocnv7e3VunXrdPLkSVVWViqVSikejysYDEqSDh8+rGPHjikWi8nv92v37t0aHR1VLBbTz3/+c+3Zs0evv/66ent7de+992poaEjLli2bViZO8gEAAGBXn/nDurGRo0ePmqKiIrN48WKzfPlyc/DgwcxsfHzc7Nu3z/j9frNkyRJTVVVlLly4kJl/5zvfMQ8++KDZvXu3Wbt2rbl69eq085SVlZmysrLPPQMAuwm3HJny4/mEPfj0uufr9QPziW1eriNJoVBIoVBoyllWVpYikYgikciU871792rv3r3q7e3V3/zN30z5sh8AAABgPrBVyZ+ORx55ROPj41q2bJm++93vWh0HAAAAsIxjSv4PfvADqyMAAAAAtjB/32oCAAAAcChKPgAAAOAwlHwAAADAYSj5AAAAgMNQ8gEAAACHoeQDAAAADkPJBwAAAByGkg8AAAA4DCUfAAAAcBhKPgAAAOAwlHwAAADAYSj5AAAAgMNQ8gEAAACHoeQDAAAADkPJBwAAAByGkg8AAAA4DCUfAAAAcBhKPgAAAOAwlHwAAADAYbKtDgAAmBk/ffcDxX/6Xub+kROnJny89u5CbVr/ZSuiAQBmGCf5AOBQdwfydeFiUucGzkuSzg2cz3z8y19d0JfvWmlhOgDATLJdyU+n02pqalJeXp7cbreqq6s1PDxsdSwAmHNyFi3UIw+VTjkr31gsj3vxLCcCAMwW25X8lpYWdXZ2Kh6Pa3BwUJJUW1trcSoAmJvuvadIt33BP2HN51miB0vXWpQIADAbLCv5XV1dqqiokMfjkc/nU01NjSQpGo0qHA6rsLBQXq9Xra2tisVi6uvrsyoqAMxZCxYs0KMVmyasfbV8g266iV/JAgAns6Tkd3R0qKqqSo2NjRoaGtLAwIDq6+uVTCbV39+vkpKSzGMDgYA8Ho96enqsiAoAc14g/3Z9uWilJKngjlu19u5CawMBAGbcrJf8sbExNTQ0KBqNqrq6Wjk5OXK73QoGgxodHZUkeb3eCc/x+XxKpVKSpK1btyovL0/Nzc0THtPe3q5NmzZp06ZNev3112fnYgBgjvjD8o3Kzs7SYxWb5XK5rI4DAJhhLmOMmc3/4OnTpxUKhTQ0NDTpG00ymVRubq66u7tVXFycWfd6vTp+/Lh27NihwcFBvfbaaxocHNS3vvWtzPPKy8v11ltv6aOPPtLWrVt15swZLVgwvZ9hysvLleg/r10N+ybNThx5TpKmnAEAAAAzrSW857qzWX9R5vDwsHJzc6c8SfL5fMrPz9eZM2cyJT+RSCiVSmnt2k9+SWzFihWTnhePx1VWVqacnBzl5OTo9ttv14cffqjCwun/lXRh/m1TbuBbr56Q9NmbCwCwjwPPRjNfs6/9eD753XXP1+sH5pNZL/nr16/XuXPndOrUKVVWViqVSikejysYDEqS9uzZo2effVZbtmyR3+9XOBxWMBjUypUrr/s5L168qNzc3Mz93NxcXbx48YaU/ET/eR14NjrluqQpZwAAe7r2a/Z8/fr9u+uer9cPOImtTvLXrFmjtrY27d+/Xzt37pTb7VZdXV2m5B84cEAjIyMqLS3V5cuXtW3bNrW3t3/m5/T7/RoZGcncTyaT8vv9n/GM/zxO8gHAGTjJ5yQfmE8seQ+1UCikUCg05SwrK0uRSESRSOQ//fk2bNigZ555RpcvX9bY2Jh++ctffubJPwAAAOBkc+6Nkuvq6hSPx3X58mXF43GdOnVKPp9Pf/qnf6ry8nJJ0nPPPTftX7oFAAAA5qo5V/JfeOGFKde/+c1v6pvf/OYspwEAAADsh+NuAAAAwGEo+QAAAIDDUPIBAAAAh6HkAwAAAA5DyQcAAAAchpIPAAAAOAwlHwAAAHAYSj4AAADgMJR8AAAAwGEo+QAAAIDDUPIBAAAAh6HkAwAAAA5DyQcAAAAchpIPAAAAOAwlHwAAAHAYSj4AAADgMJR8AAAAwGEo+QAAAIDDZFsdAACAmfLL/zusjz7698z9fzvbP+Fjj3uxbvuC34poADCjKPkAAMdKjY7pxY7/lbn/31+KTfj4v+x81IpYADDjbPlynXQ6raamJuXl5cntdqu6ulrDw8NWxwIAzDF3B/J118o7ppx9uWilAvm3z3IiAJgdtiz5LS0t6uzsVDwe1+DgoCSptrbW4lQAgLnG5XLp0Yc3yeVyTVjPylqgPyzfaFEqAJh5lpb8rq4uVVRUyOPxyOfzqaamRpIUjUYVDodVWFgor9er1tZWxWIx9fX1WRkXADAH3Zq3VBuKV09Ye+Dee+TP9ViUCABmnmUlv6OjQ1VVVWpsbNTQ0JAGBgZUX1+vZDKp/v5+lZSUZB4bCATk8XjU09NjVVwAwBy27YF7lbNooSRpyS03a8umdRYnAoCZZUnJHxsbU0NDg6LRqKqrq5WTkyO3261gMKjR0VFJktfrnfAcn8+nVColSdq6davy8vLU3Nw84THXWwcAzG+Lb8lRxf3rJUmPPFSaKfwA4FSWvLvOG2+8IZfLpa997WuTZm63W5J06dKlCevJZFIezyd/tXr06FG99tprmdfr/8711qcj0X9eB56NTrkuacoZAMC+Tsbe1MnYm1bHsMzvvm/x/QuY+1rCe647s6TkDw8PKzc3d9IvQkmfnNjn5+frzJkzKi4uliQlEgmlUimtXbtWkrRixYopP+/11qejMP+2KTfwrVdPSPrszQUA2MtVY7Rgiu8988WBZ6NqCe/J3AJwLktK/vr163Xu3DmdOnVKlZWVSqVSisfjCgaDkqQ9e/bo2Wef1ZYtW+T3+xUOhxUMBrVy5cpZz8pJPgDASTjJB5zDdif5a9asUVtbm/bv36+dO3fK7Xarrq4uU/IPHDigkZERlZaW6vLly9q2bZva29utiMpJPgDAMTjJB+YPy/7F21AopFAoNOUsKytLkUhEkUhkllMBAAAAc59lJX866urqFI/Hdfk9okkYAAAEdklEQVTyZcXjcZ06deoz1wEAAID5ZE6W/BdeeOFzrQMAAADziaX/4i0AAACAG4+SDwAAADgMJR8AAABwGEo+AAAA4DCUfAAAAMBhKPkAAACAw1DyAQAAAIeh5AMAAAAOQ8kHAAAAHIaSDwAAADgMJR8AAABwGEo+AAAA4DCUfAAAAMBhKPkAAACAw1DyAQAAAIeh5AMAAAAOQ8kHAAAAHIaSDwAAADgMJR8AAABwmGyrAwAAgJnz+v/uVs97ZzP3/+sLL024rbh/ve75UqEl2QDMHE7yAQBwsPVfvksXkyn96sKvJWnC7ZXxca2+s8DKeABmiC1LfjqdVlNTk/Ly8uR2u1VdXa3h4WGrYwEAMOd4PUtUtuErU84qt2xUdlbWLCcCMBtsWfJbWlrU2dmpeDyuwcFBSVJtba3FqQAAmJseuu8r8roXT1i7s+AOTvEBB7O05Hd1damiokIej0c+n081NTWSpGg0qnA4rMLCQnm9XrW2tioWi6mvr8/KuAAAzEkLb8rWV8s3ZO67XC49WrFJLpfLwlQAZpJlJb+jo0NVVVVqbGzU0NCQBgYGVF9fr2Qyqf7+fpWUlGQeGwgE5PF41NPTY1VcAADmtK+sDij/9i9IkjYUr9byvKUWJwIwkywp+WNjY2poaFA0GlV1dbVycnLkdrsVDAY1OjoqSfJ6vROe4/P5lEqlJElbt25VXl6empubM/OzZ8/qoYce0oMPPqgHHnhAb7/99uxdEAAANudyufRYxWbdnLNIWx8o+Y+fAGBOs+QtNN944w25XC597WtfmzRzu92SpEuXLk1YTyaT8ng8kqSjR4/qtddey7xeX/rkh4Dvf//78vv9evfdd9XQ0KAf//jH086a6D+vA89Gp1yXNOUMAAA7a/7OcasjALgBWsJ7rjuzpOQPDw8rNzd3ytcC+nw+5efn68yZMyouLpYkJRIJpVIprV27VpK0YsWKSc/z+/2ZjxctWqSsG/BuAcXFxSouLp5yAz8+/66kz95cAAAAwAouY4yZ7f9ob2+v1q1bp5MnT6qyslKpVErxeFzBYFCSdPjwYR07dkyxWEx+v1+7d+/W6OioYrFY5nMcPXpUg4OD+ta3vjXhc6fTae3YsUNPPfWUtm/fPu2snNQDAADAjmx3kr9mzRq1tbVp//792rlzp9xut+rq6jIl/8CBAxoZGVFpaakuX76sbdu2qb29/T/8vMYY1dXV6dFHH70hBV/ipB4AAABzjyUn+TfCVCf5e/fu1a233qq//Mu/tDAZAAAAYK05WfLr6uoUj8d1+fJlrV69WqdOndKPfvQjPfLII9q8ebMkaenSpTp58qTFSQEAAIDZNydLPgAAAIDrs/RfvAUAAABw41HyAQAAAIeh5AMAAAAOQ8kHAAAAHIaSDwAAADgMJR8AAABwGEo+AAAA4DCUfAAAAMBhKPkAAACAw1DyAQAAAIeh5AMAAAAOQ8kHAAAAHIaSDwAAADgMJR8AAABwGEo+AAAA4DCUfAAAAMBhKPkAAACAw/w/ZN24Ulaqy9EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 989x2377.9 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "djCompiled.draw(output='mpl',scale=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Job Status: job has successfully run\n"
     ]
    }
   ],
   "source": [
    "job = execute(djCompiled, backend=backend, shots=1024)\n",
    "job_monitor(job)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-09-26T16:10:01.485559Z",
     "start_time": "2018-09-26T16:10:00.962392Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results = job.result()\n",
    "answer = results.get_counts()\n",
    "\n",
    "threshold = int(0.01 * shots) # the threshold of plotting significant measurements\n",
    "filteredAnswer = {k: v for k,v in answer.items() if v >= threshold} # filter the answer for better view of plots\n",
    "\n",
    "removedCounts = np.sum([ v for k,v in answer.items() if v < threshold ]) # number of counts removed \n",
    "filteredAnswer['other_bitstrings'] = removedCounts  # the removed counts are assigned to a new index\n",
    "\n",
    "plot_histogram(filteredAnswer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'0000000000000': 383, '0000000100000': 12, '0100010000000': 26, '0100000000000': 169, '1000000001000': 11, '1000000000000': 37, '0000000010000': 14, '1100000000000': 20, '0100000001000': 34, '0000010001000': 20, '0000000000001': 13, '0000000001000': 87, '0000010000000': 57, 'other_bitstrings': 141}\n"
     ]
    }
   ],
   "source": [
    "print(filteredAnswer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
